GCF of 252/708, 7316/796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 252/708, 7316/796 i.e 4/140892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 252/708, 7316/796.
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 252/708,7316/796?
Given fractions are 252/708,7316/796
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 252/708,7316/796, numerators are 252,7316
Denominators are 708,796
The GCF of 252,7316 is 4 .
LCM of 708,796 is 140892.
The greatest common factor of 252/708,7316/796 = [GCF of 252,7316]/[LCM of 708,796]= 4/140892
Therefore, the GCF of 252/708,7316/796 is 4/140892.
To find the highest common factor of 252,7316, we have to find the factors of both numbers and list the highest common factor.
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The factors of 7316 are 1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316
The HCF of 252,7316 is 4.
Lets's calculate GCF of 252,7316
| 2 | 252, 7316 |
| 2 | 126, 3658 |
| 63, 1829 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 252,7316 By Matching Biggest Common Factor Method
Now, list down the factors of 252
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Now, list down the factors of 7316
:1,2,4,31,59,62,118,124,236,1829,3658,7316
Greatest Common Factor
We found the factors 252,7316 . The biggest common factor number is the GCF number.
So the greatest common factor 252,7316 is 4.
Lets's calculate LCM of 708,796
| 2 | 708, 796 |
| 2 | 354, 398 |
| 177, 199 |
∴ So the LCM of the given numbers is 2 x 2 x 177 x 199 = 140892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/140892
Therefore, the GCF of Fractions 252/708,7316/796 is 4/140892
Least Common Multiple of 708,796 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 708,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,796) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(708,796) x common factors =4 x 1 = 4
LCM(708,796) = ( 708 × 796 ) / 4
LCM(708,796) = 563568 / 4
LCM(708,796) = 140892
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FAQs on GCF of Fractions of 252/708, 7316/796
1. What is the HCF of 252,7316?
The HCF of 252,7316 is 4
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 252/708, 7316/796?
Answer: GCF of Numerators as per given numbers 252/708, 7316/796 is
GCF of Numerators i.e. for 252,7316 is 4
LCM of denominators i.e. for 708,796 is 140892.
Thus, GCF of Fractions is 4/140892.Finally, GCF of Fractions for 252/708, 7316/796 is 4/140892.