GCF of 5161/812, 3160/7538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5161/812, 3160/7538 i.e 1/3060428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5161/812, 3160/7538.
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 5161/812,3160/7538?
Given fractions are 5161/812,3160/7538
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 5161/812,3160/7538, numerators are 5161,3160
Denominators are 812,7538
The GCF of 5161,3160 is 1 .
LCM of 812,7538 is 3060428.
The greatest common factor of 5161/812,3160/7538 = [GCF of 5161,3160]/[LCM of 812,7538]= 1/3060428
Therefore, the GCF of 5161/812,3160/7538 is 1/3060428.
To find the highest common factor of 5161,3160, we have to find the factors of both numbers and list the highest common factor.
The factors of 5161 are 1, 13, 397, 5161
The factors of 3160 are 1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160
The HCF of 5161,3160 is 1.
Lets's calculate GCF of 5161,3160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5161,3160 By Matching Biggest Common Factor Method
Now, list down the factors of 5161
:1,13,397,5161
Now, list down the factors of 3160
:1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160
Greatest Common Factor
We found the factors 5161,3160 . The biggest common factor number is the GCF number.
So the greatest common factor 5161,3160 is 1.
Lets's calculate LCM of 812,7538
| 2 | 812, 7538 |
| 406, 3769 |
∴ So the LCM of the given numbers is 2 x 406 x 3769 = 3060428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3060428
Therefore, the GCF of Fractions 5161/812,3160/7538 is 1/3060428
Least Common Multiple of 812,7538 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 812,7538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,7538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(812,7538) x common factors =2 x 1 = 2
LCM(812,7538) = ( 812 × 7538 ) / 2
LCM(812,7538) = 6120856 / 2
LCM(812,7538) = 3060428
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FAQs on GCF of Fractions of 5161/812, 3160/7538
1. What is the HCF of 5161,3160?
The HCF of 5161,3160 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 5161/812, 3160/7538?
Answer: GCF of Numerators as per given numbers 5161/812, 3160/7538 is
GCF of Numerators i.e. for 5161,3160 is 1
LCM of denominators i.e. for 812,7538 is 3060428.
Thus, GCF of Fractions is 1/3060428.Finally, GCF of Fractions for 5161/812, 3160/7538 is 1/3060428.