using Euclid division lemma find the HCF of 90 and 1020
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Answers
Step-by-step explanation:
#1 Sort the numbers into ascending order:
90, 1020
#2 Take the smallest number (90) as your divisor
#3 Work out the modulo operation of the remaining number(s) and the divisor:
1020 mod 90 = 30
#4 Gather the divisor and all of the remainders and sort them in ascending order. Remove any duplicates. Our set is then:
30, 90
#5 Take the smallest number (30) as your divisor
#6 Work out the modulo operation of the remaining number(s) and the divisor:
90 mod 30 = 0
#7 Gather the divisor and all of the remainders and sort them in ascending order. Remove any duplicates and 0.
#8 As there is only one number left (the divisor), it's the Greatest Common Factor
#9 Therefore the Greatest Common Factor of 90 and 1020 is: 30
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