GCF of 2979/656, 9417/3908
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2979/656, 9417/3908 i.e 3/640912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2979/656, 9417/3908.
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 2979/656,9417/3908?
Given fractions are 2979/656,9417/3908
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 2979/656,9417/3908, numerators are 2979,9417
Denominators are 656,3908
The GCF of 2979,9417 is 3 .
LCM of 656,3908 is 640912.
The greatest common factor of 2979/656,9417/3908 = [GCF of 2979,9417]/[LCM of 656,3908]= 3/640912
Therefore, the GCF of 2979/656,9417/3908 is 3/640912.
To find the highest common factor of 2979,9417, we have to find the factors of both numbers and list the highest common factor.
The factors of 2979 are 1, 3, 9, 331, 993, 2979
The factors of 9417 are 1, 3, 43, 73, 129, 219, 3139, 9417
The HCF of 2979,9417 is 3.
Lets's calculate GCF of 2979,9417
| 3 | 2979, 9417 |
| 993, 3139 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2979,9417 By Matching Biggest Common Factor Method
Now, list down the factors of 2979
:1,3,9,331,993,2979
Now, list down the factors of 9417
:1,3,43,73,129,219,3139,9417
Greatest Common Factor
We found the factors 2979,9417 . The biggest common factor number is the GCF number.
So the greatest common factor 2979,9417 is 3.
Lets's calculate LCM of 656,3908
| 2 | 656, 3908 |
| 2 | 328, 1954 |
| 164, 977 |
∴ So the LCM of the given numbers is 2 x 2 x 164 x 977 = 640912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/640912
Therefore, the GCF of Fractions 2979/656,9417/3908 is 3/640912
Least Common Multiple of 656,3908 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 656,3908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,3908) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(656,3908) x common factors =4 x 1 = 4
LCM(656,3908) = ( 656 × 3908 ) / 4
LCM(656,3908) = 2563648 / 4
LCM(656,3908) = 640912
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FAQs on GCF of Fractions of 2979/656, 9417/3908
1. What is the HCF of 2979,9417?
The HCF of 2979,9417 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 2979/656, 9417/3908?
Answer: GCF of Numerators as per given numbers 2979/656, 9417/3908 is
GCF of Numerators i.e. for 2979,9417 is 3
LCM of denominators i.e. for 656,3908 is 640912.
Thus, GCF of Fractions is 3/640912.Finally, GCF of Fractions for 2979/656, 9417/3908 is 3/640912.