GCF of 8131/852, 7362/312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8131/852, 7362/312 i.e 1/22152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8131/852, 7362/312.
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 8131/852,7362/312?
Given fractions are 8131/852,7362/312
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 8131/852,7362/312, numerators are 8131,7362
Denominators are 852,312
The GCF of 8131,7362 is 1 .
LCM of 852,312 is 22152.
The greatest common factor of 8131/852,7362/312 = [GCF of 8131,7362]/[LCM of 852,312]= 1/22152
Therefore, the GCF of 8131/852,7362/312 is 1/22152.
To find the highest common factor of 8131,7362, we have to find the factors of both numbers and list the highest common factor.
The factors of 8131 are 1, 47, 173, 8131
The factors of 7362 are 1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681, 7362
The HCF of 8131,7362 is 1.
Lets's calculate GCF of 8131,7362
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8131,7362 By Matching Biggest Common Factor Method
Now, list down the factors of 8131
:1,47,173,8131
Now, list down the factors of 7362
:1,2,3,6,9,18,409,818,1227,2454,3681,7362
Greatest Common Factor
We found the factors 8131,7362 . The biggest common factor number is the GCF number.
So the greatest common factor 8131,7362 is 1.
Lets's calculate LCM of 852,312
| 2 | 852, 312 |
| 2 | 426, 156 |
| 3 | 213, 78 |
| 71, 26 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 71 x 26 = 22152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22152
Therefore, the GCF of Fractions 8131/852,7362/312 is 1/22152
Least Common Multiple of 852,312 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 852,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,312) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(852,312) x common factors =12 x 1 = 12
LCM(852,312) = ( 852 × 312 ) / 12
LCM(852,312) = 265824 / 12
LCM(852,312) = 22152
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FAQs on GCF of Fractions of 8131/852, 7362/312
1. What is the HCF of 8131,7362?
The HCF of 8131,7362 is 1
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 8131/852, 7362/312?
Answer: GCF of Numerators as per given numbers 8131/852, 7362/312 is
GCF of Numerators i.e. for 8131,7362 is 1
LCM of denominators i.e. for 852,312 is 22152.
Thus, GCF of Fractions is 1/22152.Finally, GCF of Fractions for 8131/852, 7362/312 is 1/22152.