Greatest Common Factor of 9730/857, 6265/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9730/857, 6265/524

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 9730/857,6265/524

Given fractions are 9730/857,6265/524

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 9730,6265

Greatest Common Factor of Numerators i.e. GCF of 9730,6265 is 35 .

LCM of Denominators means LCM of 857,524 as per the given fractions.

LCM of 857,524 is 449068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9730,6265

GCF of Fractions 9730/857,6265/524 is 35/449068

5 9730, 6265
7 1946, 1253
278, 179

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 9730,6265 By Matching Biggest Common Factor Method

Greatest Common Factor of 9730,6265 By Matching Biggest Common Factor Method

Factors of 9730

List of positive integer factors of 9730 that divides 9730 without a remainder.

1,2,5,7,10,14,35,70,139,278,695,973,1390,1946,4865,9730

Factors of 6265

List of positive integer factors of 6265 that divides 6265 without a remainder.

1,5,7,35,179,895,1253,6265

Greatest Common Factor

We found the factors 9730,6265 . The biggest common factor number is the GCF number.
So the greatest common factor 9730,6265 is 35.

Lets's calculate LCM of 857,524

Given numbers has no common factors except 1. So, there LCM is their product i.e 449068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/449068

Therefore, the GCF of Fractions 9730/857,6265/524 is 35/449068

Least Common Multiple of 857,524 with GCF Formula

Least Common Multiple of 857,524 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 857,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,524) = 1

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

GCF(857,524) x common factors =1 x 1 = 1

LCM(857,524) = ( 857 × 524 ) / 1

LCM(857,524) = 449068 / 1

LCM(857,524) = 449068


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 9730/857, 6265/524

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 9730/857, 6265/524?

Answer: GCF of Numerators as per given numbers 9730/857, 6265/524 is

GCF of Numerators i.e. for 9730,6265 is 35

LCM of denominators i.e. for 857,524 is 449068.

Thus, GCF of Fractions is 35/449068.Finally, GCF of Fractions for 9730/857, 6265/524 is 35/449068.