Greatest Common Factor of 9830/790, 7111/1567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9830/790, 7111/1567

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 9830/790,7111/1567

Given fractions are 9830/790,7111/1567

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 9830,7111

Greatest Common Factor of Numerators i.e. GCF of 9830,7111 is 1 .

LCM of Denominators means LCM of 790,1567 as per the given fractions.

LCM of 790,1567 is 1237930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9830,7111

GCF of Fractions 9830/790,7111/1567 is 1/1237930

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

Greatest Common Factor of 9830,7111 By Matching Biggest Common Factor Method

Greatest Common Factor of 9830,7111 By Matching Biggest Common Factor Method

Factors of 9830

List of positive integer factors of 9830 that divides 9830 without a remainder.

1,2,5,10,983,1966,4915,9830

Factors of 7111

List of positive integer factors of 7111 that divides 7111 without a remainder.

1,13,547,7111

Greatest Common Factor

We found the factors 9830,7111 . The biggest common factor number is the GCF number.
So the greatest common factor 9830,7111 is 1.

Lets's calculate LCM of 790,1567

Given numbers has no common factors except 1. So, there LCM is their product i.e 1237930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1237930

Therefore, the GCF of Fractions 9830/790,7111/1567 is 1/1237930

Least Common Multiple of 790,1567 with GCF Formula

Least Common Multiple of 790,1567 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 790,1567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,1567) = 1

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

GCF(790,1567) x common factors =1 x 1 = 1

LCM(790,1567) = ( 790 × 1567 ) / 1

LCM(790,1567) = 1237930 / 1

LCM(790,1567) = 1237930


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 9830/790, 7111/1567

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 9830/790, 7111/1567?

Answer: GCF of Numerators as per given numbers 9830/790, 7111/1567 is

GCF of Numerators i.e. for 9830,7111 is 1

LCM of denominators i.e. for 790,1567 is 1237930.

Thus, GCF of Fractions is 1/1237930.Finally, GCF of Fractions for 9830/790, 7111/1567 is 1/1237930.