GCF of 4971/688, 3504/936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4971/688, 3504/936 i.e 3/80496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4971/688, 3504/936.
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 4971/688,3504/936?
Given fractions are 4971/688,3504/936
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 4971/688,3504/936, numerators are 4971,3504
Denominators are 688,936
The GCF of 4971,3504 is 3 .
LCM of 688,936 is 80496.
The greatest common factor of 4971/688,3504/936 = [GCF of 4971,3504]/[LCM of 688,936]= 3/80496
Therefore, the GCF of 4971/688,3504/936 is 3/80496.
To find the highest common factor of 4971,3504, we have to find the factors of both numbers and list the highest common factor.
The factors of 4971 are 1, 3, 1657, 4971
The factors of 3504 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504
The HCF of 4971,3504 is 3.
Lets's calculate GCF of 4971,3504
| 3 | 4971, 3504 |
| 1657, 1168 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4971,3504 By Matching Biggest Common Factor Method
Now, list down the factors of 4971
:1,3,1657,4971
Now, list down the factors of 3504
:1,2,3,4,6,8,12,16,24,48,73,146,219,292,438,584,876,1168,1752,3504
Greatest Common Factor
We found the factors 4971,3504 . The biggest common factor number is the GCF number.
So the greatest common factor 4971,3504 is 3.
Lets's calculate LCM of 688,936
| 2 | 688, 936 |
| 2 | 344, 468 |
| 2 | 172, 234 |
| 86, 117 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 86 x 117 = 80496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/80496
Therefore, the GCF of Fractions 4971/688,3504/936 is 3/80496
Least Common Multiple of 688,936 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 688,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,936) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(688,936) x common factors =8 x 1 = 8
LCM(688,936) = ( 688 × 936 ) / 8
LCM(688,936) = 643968 / 8
LCM(688,936) = 80496
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FAQs on GCF of Fractions of 4971/688, 3504/936
1. What is the HCF of 4971,3504?
The HCF of 4971,3504 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 4971/688, 3504/936?
Answer: GCF of Numerators as per given numbers 4971/688, 3504/936 is
GCF of Numerators i.e. for 4971,3504 is 3
LCM of denominators i.e. for 688,936 is 80496.
Thus, GCF of Fractions is 3/80496.Finally, GCF of Fractions for 4971/688, 3504/936 is 3/80496.