Greatest Common Factor of 8203/51, 7570/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8203/51, 7570/164

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 8203/51,7570/164

Given fractions are 8203/51,7570/164

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 8203,7570

Greatest Common Factor of Numerators i.e. GCF of 8203,7570 is 1 .

LCM of Denominators means LCM of 51,164 as per the given fractions.

LCM of 51,164 is 8364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8203,7570

GCF of Fractions 8203/51,7570/164 is 1/8364

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

Greatest Common Factor of 8203,7570 By Matching Biggest Common Factor Method

Greatest Common Factor of 8203,7570 By Matching Biggest Common Factor Method

Factors of 8203

List of positive integer factors of 8203 that divides 8203 without a remainder.

1,13,631,8203

Factors of 7570

List of positive integer factors of 7570 that divides 7570 without a remainder.

1,2,5,10,757,1514,3785,7570

Greatest Common Factor

We found the factors 8203,7570 . The biggest common factor number is the GCF number.
So the greatest common factor 8203,7570 is 1.

Lets's calculate LCM of 51,164

Given numbers has no common factors except 1. So, there LCM is their product i.e 8364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8364

Therefore, the GCF of Fractions 8203/51,7570/164 is 1/8364

Least Common Multiple of 51,164 with GCF Formula

Least Common Multiple of 51,164 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 51,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,164) = 1

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

GCF(51,164) x common factors =1 x 1 = 1

LCM(51,164) = ( 51 × 164 ) / 1

LCM(51,164) = 8364 / 1

LCM(51,164) = 8364


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 8203/51, 7570/164

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 8203/51, 7570/164?

Answer: GCF of Numerators as per given numbers 8203/51, 7570/164 is

GCF of Numerators i.e. for 8203,7570 is 1

LCM of denominators i.e. for 51,164 is 8364.

Thus, GCF of Fractions is 1/8364.Finally, GCF of Fractions for 8203/51, 7570/164 is 1/8364.