Greatest Common Factor of 760/851, 3427/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 760/851, 3427/216

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 760/851,3427/216

Given fractions are 760/851,3427/216

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 760,3427

Greatest Common Factor of Numerators i.e. GCF of 760,3427 is 1 .

LCM of Denominators means LCM of 851,216 as per the given fractions.

LCM of 851,216 is 183816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 760,3427

GCF of Fractions 760/851,3427/216 is 1/183816

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

Greatest Common Factor of 760,3427 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,3427 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 3427

List of positive integer factors of 3427 that divides 3427 without a remainder.

1,23,149,3427

Greatest Common Factor

We found the factors 760,3427 . The biggest common factor number is the GCF number.
So the greatest common factor 760,3427 is 1.

Lets's calculate LCM of 851,216

Given numbers has no common factors except 1. So, there LCM is their product i.e 183816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183816

Therefore, the GCF of Fractions 760/851,3427/216 is 1/183816

Least Common Multiple of 851,216 with GCF Formula

Least Common Multiple of 851,216 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 851,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,216) = 1

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

GCF(851,216) x common factors =1 x 1 = 1

LCM(851,216) = ( 851 × 216 ) / 1

LCM(851,216) = 183816 / 1

LCM(851,216) = 183816


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 760/851, 3427/216

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 760/851, 3427/216?

Answer: GCF of Numerators as per given numbers 760/851, 3427/216 is

GCF of Numerators i.e. for 760,3427 is 1

LCM of denominators i.e. for 851,216 is 183816.

Thus, GCF of Fractions is 1/183816.Finally, GCF of Fractions for 760/851, 3427/216 is 1/183816.