Greatest Common Factor of 700/970, 559/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 700/970, 559/748

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 700/970,559/748

Given fractions are 700/970,559/748

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 700,559

Greatest Common Factor of Numerators i.e. GCF of 700,559 is 1 .

LCM of Denominators means LCM of 970,748 as per the given fractions.

LCM of 970,748 is 362780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 700,559

GCF of Fractions 700/970,559/748 is 1/362780

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

Greatest Common Factor of 700,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,559 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 700,559 . The biggest common factor number is the GCF number.
So the greatest common factor 700,559 is 1.

Lets's calculate LCM of 970,748

2 970, 748
485, 374

∴ So the LCM of the given numbers is 2 x 485 x 374 = 362780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362780

Therefore, the GCF of Fractions 700/970,559/748 is 1/362780

Least Common Multiple of 970,748 with GCF Formula

Least Common Multiple of 970,748 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 970,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,748) = 2

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

GCF(970,748) x common factors =2 x 1 = 2

LCM(970,748) = ( 970 × 748 ) / 2

LCM(970,748) = 725560 / 2

LCM(970,748) = 362780


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 700/970, 559/748

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 700/970, 559/748?

Answer: GCF of Numerators as per given numbers 700/970, 559/748 is

GCF of Numerators i.e. for 700,559 is 1

LCM of denominators i.e. for 970,748 is 362780.

Thus, GCF of Fractions is 1/362780.Finally, GCF of Fractions for 700/970, 559/748 is 1/362780.