Asked by Manasvi
What is the HCF / GCF of 120, 180 and 190 as per prime factorisation. Please explain in depth....
Answers
Answered by
Steve
120 = 2^3 3 5
180 = 2^2 3^2 5
190 = 2 5 19
So, take the highest power of each prime common to all numbers:
2 5 = 10
No other (larger) combination of those prime factors will divide all three numbers.
180 = 2^2 3^2 5
190 = 2 5 19
So, take the highest power of each prime common to all numbers:
2 5 = 10
No other (larger) combination of those prime factors will divide all three numbers.
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