HCF & LCM

A prime number is...

• a number that has only one factor.
• a number that has at least two factors.
• a number that has more than two factors.
• a number that has only two factors.
  (1 and itself)

Which number is a factor of 10

• 3

• 4

• 5

• 8

Find the HCF of 12 and 15 ?

• 2
• 2 x 3
• 3
• 60

What is the LCM of 4 and 12? 

• 4
• 8
• 12
• 16

Find the HCF of 30 and 36

• 2
• 3
• 4
• 6

What are the next three multiples? 6, 12, 18, ___ ,___ ,___

• 24, 30, 34

• 24, 36, 42

• 24, 30, 36

• 22, 28, 34

Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how long will they wait before they can have both during the same appointment?

• HCF

• LCM

Sophie checks her bike for repairs every 9 days and Susan check hers every 12 days. If they both check their bikes today, after how many days do they next both check their bike again?

• HCF

• LCM

There are two loaf cakes. One is 35cm long and one is 21cm long. They want to cut the cake up and sell the slices, but all the slices must be equal. What is the largest slices that they can cut them into?

• HCF

• LCM

A carpenter got given some free wooden planks. Some are 12m long and some are 18m long. She wants to cut them up so that she has equal size planks to make using them easier. What size planks should she cut them into to avoid wasting any wood?

• HCF

• LCM