Greatest Common Factor of 868/409, 428/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 868/409, 428/754

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 868/409,428/754

Given fractions are 868/409,428/754

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 868,428

Greatest Common Factor of Numerators i.e. GCF of 868,428 is 4 .

LCM of Denominators means LCM of 409,754 as per the given fractions.

LCM of 409,754 is 308386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 868,428

GCF of Fractions 868/409,428/754 is 4/308386

2 868, 428
2 434, 214
217, 107

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 868,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,428 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 868,428 . The biggest common factor number is the GCF number.
So the greatest common factor 868,428 is 4.

Lets's calculate LCM of 409,754

Given numbers has no common factors except 1. So, there LCM is their product i.e 308386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/308386

Therefore, the GCF of Fractions 868/409,428/754 is 4/308386

Least Common Multiple of 409,754 with GCF Formula

Least Common Multiple of 409,754 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 409,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,754) = 1

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

GCF(409,754) x common factors =1 x 1 = 1

LCM(409,754) = ( 409 × 754 ) / 1

LCM(409,754) = 308386 / 1

LCM(409,754) = 308386


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 868/409, 428/754

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 868/409, 428/754?

Answer: GCF of Numerators as per given numbers 868/409, 428/754 is

GCF of Numerators i.e. for 868,428 is 4

LCM of denominators i.e. for 409,754 is 308386.

Thus, GCF of Fractions is 4/308386.Finally, GCF of Fractions for 868/409, 428/754 is 4/308386.