GCF of 5712/774, 5236/4422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5712/774, 5236/4422 i.e 476/570438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5712/774, 5236/4422.
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 5712/774,5236/4422?
Given fractions are 5712/774,5236/4422
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 5712/774,5236/4422, numerators are 5712,5236
Denominators are 774,4422
The GCF of 5712,5236 is 476 .
LCM of 774,4422 is 570438.
The greatest common factor of 5712/774,5236/4422 = [GCF of 5712,5236]/[LCM of 774,4422]= 476/570438
Therefore, the GCF of 5712/774,5236/4422 is 476/570438.
To find the highest common factor of 5712,5236, we have to find the factors of both numbers and list the highest common factor.
The factors of 5712 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712
The factors of 5236 are 1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 308, 374, 476, 748, 1309, 2618, 5236
The HCF of 5712,5236 is 476.
Lets's calculate GCF of 5712,5236
| 2 | 5712, 5236 |
| 2 | 2856, 2618 |
| 7 | 1428, 1309 |
| 17 | 204, 187 |
| 12, 11 |
∴ So the GCF of the given numbers is 2 x 2 x 7 x 17 = 476
Greatest Common Factor of 5712,5236 By Matching Biggest Common Factor Method
Now, list down the factors of 5712
:1,2,3,4,6,7,8,12,14,16,17,21,24,28,34,42,48,51,56,68,84,102,112,119,136,168,204,238,272,336,357,408,476,714,816,952,1428,1904,2856,5712
Now, list down the factors of 5236
:1,2,4,7,11,14,17,22,28,34,44,68,77,119,154,187,238,308,374,476,748,1309,2618,5236
Greatest Common Factor
We found the factors 5712,5236 . The biggest common factor number is the GCF number.
So the greatest common factor 5712,5236 is 476.
Lets's calculate LCM of 774,4422
| 2 | 774, 4422 |
| 3 | 387, 2211 |
| 129, 737 |
∴ So the LCM of the given numbers is 2 x 3 x 129 x 737 = 570438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 476/570438
Therefore, the GCF of Fractions 5712/774,5236/4422 is 476/570438
Least Common Multiple of 774,4422 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 774,4422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,4422) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(774,4422) x common factors =6 x 1 = 6
LCM(774,4422) = ( 774 × 4422 ) / 6
LCM(774,4422) = 3422628 / 6
LCM(774,4422) = 570438
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FAQs on GCF of Fractions of 5712/774, 5236/4422
1. What is the HCF of 5712,5236?
The HCF of 5712,5236 is 476
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 5712/774, 5236/4422?
Answer: GCF of Numerators as per given numbers 5712/774, 5236/4422 is
GCF of Numerators i.e. for 5712,5236 is 476
LCM of denominators i.e. for 774,4422 is 570438.
Thus, GCF of Fractions is 476/570438.Finally, GCF of Fractions for 5712/774, 5236/4422 is 476/570438.