Greatest Common Factor of 8572/818, 3451/7120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8572/818, 3451/7120

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 8572/818,3451/7120

Given fractions are 8572/818,3451/7120

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 8572,3451

Greatest Common Factor of Numerators i.e. GCF of 8572,3451 is 1 .

LCM of Denominators means LCM of 818,7120 as per the given fractions.

LCM of 818,7120 is 2912080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8572,3451

GCF of Fractions 8572/818,3451/7120 is 1/2912080

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

Greatest Common Factor of 8572,3451 By Matching Biggest Common Factor Method

Greatest Common Factor of 8572,3451 By Matching Biggest Common Factor Method

Factors of 8572

List of positive integer factors of 8572 that divides 8572 without a remainder.

1,2,4,2143,4286,8572

Factors of 3451

List of positive integer factors of 3451 that divides 3451 without a remainder.

1,7,17,29,119,203,493,3451

Greatest Common Factor

We found the factors 8572,3451 . The biggest common factor number is the GCF number.
So the greatest common factor 8572,3451 is 1.

Lets's calculate LCM of 818,7120

2 818, 7120
409, 3560

∴ So the LCM of the given numbers is 2 x 409 x 3560 = 2912080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2912080

Therefore, the GCF of Fractions 8572/818,3451/7120 is 1/2912080

Least Common Multiple of 818,7120 with GCF Formula

Least Common Multiple of 818,7120 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 818,7120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,7120) = 2

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

GCF(818,7120) x common factors =2 x 1 = 2

LCM(818,7120) = ( 818 × 7120 ) / 2

LCM(818,7120) = 5824160 / 2

LCM(818,7120) = 2912080


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 8572/818, 3451/7120

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 8572/818, 3451/7120?

Answer: GCF of Numerators as per given numbers 8572/818, 3451/7120 is

GCF of Numerators i.e. for 8572,3451 is 1

LCM of denominators i.e. for 818,7120 is 2912080.

Thus, GCF of Fractions is 1/2912080.Finally, GCF of Fractions for 8572/818, 3451/7120 is 1/2912080.