Greatest Common Factor of 312/62, 4901/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 312/62, 4901/515

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 312/62,4901/515

Given fractions are 312/62,4901/515

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 312,4901

Greatest Common Factor of Numerators i.e. GCF of 312,4901 is 13 .

LCM of Denominators means LCM of 62,515 as per the given fractions.

LCM of 62,515 is 31930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 312,4901

GCF of Fractions 312/62,4901/515 is 13/31930

13 312, 4901
24, 377

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 312,4901 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,4901 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 4901

List of positive integer factors of 4901 that divides 4901 without a remainder.

1,13,29,169,377,4901

Greatest Common Factor

We found the factors 312,4901 . The biggest common factor number is the GCF number.
So the greatest common factor 312,4901 is 13.

Lets's calculate LCM of 62,515

Given numbers has no common factors except 1. So, there LCM is their product i.e 31930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/31930

Therefore, the GCF of Fractions 312/62,4901/515 is 13/31930

Least Common Multiple of 62,515 with GCF Formula

Least Common Multiple of 62,515 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 62,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,515) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(62,515) x common factors =1 x 1 = 1

LCM(62,515) = ( 62 × 515 ) / 1

LCM(62,515) = 31930 / 1

LCM(62,515) = 31930


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 312/62, 4901/515

1. 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.

2. What is the GCF of Fractions for 312/62, 4901/515?

Answer: GCF of Numerators as per given numbers 312/62, 4901/515 is

GCF of Numerators i.e. for 312,4901 is 13

LCM of denominators i.e. for 62,515 is 31930.

Thus, GCF of Fractions is 13/31930.Finally, GCF of Fractions for 312/62, 4901/515 is 13/31930.