GCF of 96/79, 657/94, 654/435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/79, 657/94, 654/435 i.e 3/3230310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/79, 657/94, 654/435.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 96/79,657/94,654/435?
Given fractions are 96/79,657/94,654/435
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 96/79,657/94,654/435, numerators are 96,657,654
Denominators are 79,94,435
The GCF of 96,657,654 is 3 .
LCM of 79,94,435 is 3230310.
The greatest common factor of 96/79,657/94,654/435 = [GCF of 96,657,654]/[LCM of 79,94,435]= 3/3230310
Therefore, the GCF of 96/79,657/94,654/435 is 3/3230310.
To find the highest common factor of 96,657,654, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 657 are 1, 3, 9, 73, 219, 657
The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654
The HCF of 96,657,654 is 3.
Lets's calculate GCF of 96,657,654
| 3 | 96, 657, 654 |
| 32, 219, 218 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 96,657,654 By Matching Biggest Common Factor Method
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 657
:1,3,9,73,219,657
Now, list down the factors of 654
:1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 96,657,654 . The biggest common factor number is the GCF number.
So the greatest common factor 96,657,654 is 3.
Lets's calculate LCM of 79,94,435
Given numbers has no common factors except 1. So, there LCM is their product i.e 3230310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3230310
Therefore, the GCF of Fractions 96/79,657/94,654/435 is 3/3230310
Least Common Multiple of 79,94,435 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 79,94,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,94,435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,94,435) x common factors =1 x 1 = 1
LCM(79,94,435) = ( 79 × 94 × 435 ) / 1
LCM(79,94,435) = 3230310 / 1
LCM(79,94,435) = 3230310
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FAQs on GCF of Fractions of 96/79, 657/94, 654/435
1. What is the HCF of 96,657,654?
The HCF of 96,657,654 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 96/79, 657/94, 654/435?
Answer: GCF of Numerators as per given numbers 96/79, 657/94, 654/435 is
GCF of Numerators i.e. for 96,657,654 is 3
LCM of denominators i.e. for 79,94,435 is 3230310.
Thus, GCF of Fractions is 3/3230310.Finally, GCF of Fractions for 96/79, 657/94, 654/435 is 3/3230310.