Greatest Common Factor of 703/86, 977/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 703/86, 977/530

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 703/86,977/530

Given fractions are 703/86,977/530

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 703,977

Greatest Common Factor of Numerators i.e. GCF of 703,977 is 1 .

LCM of Denominators means LCM of 86,530 as per the given fractions.

LCM of 86,530 is 22790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 703,977

GCF of Fractions 703/86,977/530 is 1/22790

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

Greatest Common Factor of 703,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,977 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 703,977 . The biggest common factor number is the GCF number.
So the greatest common factor 703,977 is 1.

Lets's calculate LCM of 86,530

2 86, 530
43, 265

∴ So the LCM of the given numbers is 2 x 43 x 265 = 22790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22790

Therefore, the GCF of Fractions 703/86,977/530 is 1/22790

Least Common Multiple of 86,530 with GCF Formula

Least Common Multiple of 86,530 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 86,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,530) = 2

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

GCF(86,530) x common factors =2 x 1 = 2

LCM(86,530) = ( 86 × 530 ) / 2

LCM(86,530) = 45580 / 2

LCM(86,530) = 22790


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 703/86, 977/530

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 703/86, 977/530?

Answer: GCF of Numerators as per given numbers 703/86, 977/530 is

GCF of Numerators i.e. for 703,977 is 1

LCM of denominators i.e. for 86,530 is 22790.

Thus, GCF of Fractions is 1/22790.Finally, GCF of Fractions for 703/86, 977/530 is 1/22790.