Greatest Common Factor of 700/2351, 557/8345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 700/2351, 557/8345

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 700/2351,557/8345

Given fractions are 700/2351,557/8345

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 700,557

Greatest Common Factor of Numerators i.e. GCF of 700,557 is 1 .

LCM of Denominators means LCM of 2351,8345 as per the given fractions.

LCM of 2351,8345 is 19619095 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 700,557

GCF of Fractions 700/2351,557/8345 is 1/19619095

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

Greatest Common Factor of 700,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,557 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 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors 700,557 . The biggest common factor number is the GCF number.
So the greatest common factor 700,557 is 1.

Lets's calculate LCM of 2351,8345

Given numbers has no common factors except 1. So, there LCM is their product i.e 19619095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19619095

Therefore, the GCF of Fractions 700/2351,557/8345 is 1/19619095

Least Common Multiple of 2351,8345 with GCF Formula

Least Common Multiple of 2351,8345 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 2351,8345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2351,8345) = 1

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

GCF(2351,8345) x common factors =1 x 1 = 1

LCM(2351,8345) = ( 2351 × 8345 ) / 1

LCM(2351,8345) = 19619095 / 1

LCM(2351,8345) = 19619095


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 700/2351, 557/8345

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 700/2351, 557/8345?

Answer: GCF of Numerators as per given numbers 700/2351, 557/8345 is

GCF of Numerators i.e. for 700,557 is 1

LCM of denominators i.e. for 2351,8345 is 19619095.

Thus, GCF of Fractions is 1/19619095.Finally, GCF of Fractions for 700/2351, 557/8345 is 1/19619095.