Greatest Common Factor of 370/709, 7129/8563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 370/709, 7129/8563

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 370/709,7129/8563

Given fractions are 370/709,7129/8563

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 370,7129

Greatest Common Factor of Numerators i.e. GCF of 370,7129 is 1 .

LCM of Denominators means LCM of 709,8563 as per the given fractions.

LCM of 709,8563 is 6071167 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 370,7129

GCF of Fractions 370/709,7129/8563 is 1/6071167

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

Greatest Common Factor of 370,7129 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,7129 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 7129

List of positive integer factors of 7129 that divides 7129 without a remainder.

1,7129

Greatest Common Factor

We found the factors 370,7129 . The biggest common factor number is the GCF number.
So the greatest common factor 370,7129 is 1.

Lets's calculate LCM of 709,8563

Given numbers has no common factors except 1. So, there LCM is their product i.e 6071167

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6071167

Therefore, the GCF of Fractions 370/709,7129/8563 is 1/6071167

Least Common Multiple of 709,8563 with GCF Formula

Least Common Multiple of 709,8563 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 709,8563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,8563) = 1

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

GCF(709,8563) x common factors =1 x 1 = 1

LCM(709,8563) = ( 709 × 8563 ) / 1

LCM(709,8563) = 6071167 / 1

LCM(709,8563) = 6071167


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 370/709, 7129/8563

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 370/709, 7129/8563?

Answer: GCF of Numerators as per given numbers 370/709, 7129/8563 is

GCF of Numerators i.e. for 370,7129 is 1

LCM of denominators i.e. for 709,8563 is 6071167.

Thus, GCF of Fractions is 1/6071167.Finally, GCF of Fractions for 370/709, 7129/8563 is 1/6071167.