GCF of 3112/131, 8152/8772
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3112/131, 8152/8772 i.e 8/1149132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3112/131, 8152/8772.
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 3112/131,8152/8772?
Given fractions are 3112/131,8152/8772
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 3112/131,8152/8772, numerators are 3112,8152
Denominators are 131,8772
The GCF of 3112,8152 is 8 .
LCM of 131,8772 is 1149132.
The greatest common factor of 3112/131,8152/8772 = [GCF of 3112,8152]/[LCM of 131,8772]= 8/1149132
Therefore, the GCF of 3112/131,8152/8772 is 8/1149132.
To find the highest common factor of 3112,8152, we have to find the factors of both numbers and list the highest common factor.
The factors of 3112 are 1, 2, 4, 8, 389, 778, 1556, 3112
The factors of 8152 are 1, 2, 4, 8, 1019, 2038, 4076, 8152
The HCF of 3112,8152 is 8.
Lets's calculate GCF of 3112,8152
| 2 | 3112, 8152 |
| 2 | 1556, 4076 |
| 2 | 778, 2038 |
| 389, 1019 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3112,8152 By Matching Biggest Common Factor Method
Now, list down the factors of 3112
:1,2,4,8,389,778,1556,3112
Now, list down the factors of 8152
:1,2,4,8,1019,2038,4076,8152
Greatest Common Factor
We found the factors 3112,8152 . The biggest common factor number is the GCF number.
So the greatest common factor 3112,8152 is 8.
Lets's calculate LCM of 131,8772
Given numbers has no common factors except 1. So, there LCM is their product i.e 1149132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1149132
Therefore, the GCF of Fractions 3112/131,8152/8772 is 8/1149132
Least Common Multiple of 131,8772 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 131,8772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,8772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,8772) x common factors =1 x 1 = 1
LCM(131,8772) = ( 131 × 8772 ) / 1
LCM(131,8772) = 1149132 / 1
LCM(131,8772) = 1149132
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FAQs on GCF of Fractions of 3112/131, 8152/8772
1. What is the HCF of 3112,8152?
The HCF of 3112,8152 is 8
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 3112/131, 8152/8772?
Answer: GCF of Numerators as per given numbers 3112/131, 8152/8772 is
GCF of Numerators i.e. for 3112,8152 is 8
LCM of denominators i.e. for 131,8772 is 1149132.
Thus, GCF of Fractions is 8/1149132.Finally, GCF of Fractions for 3112/131, 8152/8772 is 8/1149132.