Greatest Common Factor of 9698/713, 7117/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9698/713, 7117/759

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 9698/713,7117/759

Given fractions are 9698/713,7117/759

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 9698,7117

Greatest Common Factor of Numerators i.e. GCF of 9698,7117 is 1 .

LCM of Denominators means LCM of 713,759 as per the given fractions.

LCM of 713,759 is 23529 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9698,7117

GCF of Fractions 9698/713,7117/759 is 1/23529

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9698,7117 By Matching Biggest Common Factor Method

Greatest Common Factor of 9698,7117 By Matching Biggest Common Factor Method

Factors of 9698

List of positive integer factors of 9698 that divides 9698 without a remainder.

1,2,13,26,373,746,4849,9698

Factors of 7117

List of positive integer factors of 7117 that divides 7117 without a remainder.

1,11,647,7117

Greatest Common Factor

We found the factors 9698,7117 . The biggest common factor number is the GCF number.
So the greatest common factor 9698,7117 is 1.

Lets's calculate LCM of 713,759

23 713, 759
31, 33

∴ So the LCM of the given numbers is 23 x 31 x 33 = 23529

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23529

Therefore, the GCF of Fractions 9698/713,7117/759 is 1/23529

Least Common Multiple of 713,759 with GCF Formula

Least Common Multiple of 713,759 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 713,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,759) = 23

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

GCF(713,759) x common factors =23 x 1 = 23

LCM(713,759) = ( 713 × 759 ) / 23

LCM(713,759) = 541167 / 23

LCM(713,759) = 23529


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 9698/713, 7117/759

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 9698/713, 7117/759?

Answer: GCF of Numerators as per given numbers 9698/713, 7117/759 is

GCF of Numerators i.e. for 9698,7117 is 1

LCM of denominators i.e. for 713,759 is 23529.

Thus, GCF of Fractions is 1/23529.Finally, GCF of Fractions for 9698/713, 7117/759 is 1/23529.