Greatest Common Factor of 770/52, 4930/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 770/52, 4930/716

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 770/52,4930/716

Given fractions are 770/52,4930/716

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 770,4930

Greatest Common Factor of Numerators i.e. GCF of 770,4930 is 10 .

LCM of Denominators means LCM of 52,716 as per the given fractions.

LCM of 52,716 is 9308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 770,4930

GCF of Fractions 770/52,4930/716 is 10/9308

2 770, 4930
5 385, 2465
77, 493

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 770,4930 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,4930 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 4930

List of positive integer factors of 4930 that divides 4930 without a remainder.

1,2,5,10,17,29,34,58,85,145,170,290,493,986,2465,4930

Greatest Common Factor

We found the factors 770,4930 . The biggest common factor number is the GCF number.
So the greatest common factor 770,4930 is 10.

Lets's calculate LCM of 52,716

2 52, 716
2 26, 358
13, 179

∴ So the LCM of the given numbers is 2 x 2 x 13 x 179 = 9308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/9308

Therefore, the GCF of Fractions 770/52,4930/716 is 10/9308

Least Common Multiple of 52,716 with GCF Formula

Least Common Multiple of 52,716 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 52,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,716) = 4

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

GCF(52,716) x common factors =4 x 1 = 4

LCM(52,716) = ( 52 × 716 ) / 4

LCM(52,716) = 37232 / 4

LCM(52,716) = 9308


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 770/52, 4930/716

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 770/52, 4930/716?

Answer: GCF of Numerators as per given numbers 770/52, 4930/716 is

GCF of Numerators i.e. for 770,4930 is 10

LCM of denominators i.e. for 52,716 is 9308.

Thus, GCF of Fractions is 10/9308.Finally, GCF of Fractions for 770/52, 4930/716 is 10/9308.