Greatest Common Factor of 428/326, 716/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 428/326, 716/677

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 428/326,716/677

Given fractions are 428/326,716/677

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 428,716

Greatest Common Factor of Numerators i.e. GCF of 428,716 is 4 .

LCM of Denominators means LCM of 326,677 as per the given fractions.

LCM of 326,677 is 220702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 428,716

GCF of Fractions 428/326,716/677 is 4/220702

2 428, 716
2 214, 358
107, 179

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

Greatest Common Factor of 428,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,716 By Matching Biggest Common Factor Method

Factors of 428

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

1,2,4,107,214,428

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 428,716 . The biggest common factor number is the GCF number.
So the greatest common factor 428,716 is 4.

Lets's calculate LCM of 326,677

Given numbers has no common factors except 1. So, there LCM is their product i.e 220702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/220702

Therefore, the GCF of Fractions 428/326,716/677 is 4/220702

Least Common Multiple of 326,677 with GCF Formula

Least Common Multiple of 326,677 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 326,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,677) = 1

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

GCF(326,677) x common factors =1 x 1 = 1

LCM(326,677) = ( 326 × 677 ) / 1

LCM(326,677) = 220702 / 1

LCM(326,677) = 220702


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 428/326, 716/677

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 428/326, 716/677?

Answer: GCF of Numerators as per given numbers 428/326, 716/677 is

GCF of Numerators i.e. for 428,716 is 4

LCM of denominators i.e. for 326,677 is 220702.

Thus, GCF of Fractions is 4/220702.Finally, GCF of Fractions for 428/326, 716/677 is 4/220702.