Greatest Common Factor of 5647/716, 3415/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5647/716, 3415/428

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 5647/716,3415/428

Given fractions are 5647/716,3415/428

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 5647,3415

Greatest Common Factor of Numerators i.e. GCF of 5647,3415 is 1 .

LCM of Denominators means LCM of 716,428 as per the given fractions.

LCM of 716,428 is 76612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5647,3415

GCF of Fractions 5647/716,3415/428 is 1/76612

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

Greatest Common Factor of 5647,3415 By Matching Biggest Common Factor Method

Greatest Common Factor of 5647,3415 By Matching Biggest Common Factor Method

Factors of 5647

List of positive integer factors of 5647 that divides 5647 without a remainder.

1,5647

Factors of 3415

List of positive integer factors of 3415 that divides 3415 without a remainder.

1,5,683,3415

Greatest Common Factor

We found the factors 5647,3415 . The biggest common factor number is the GCF number.
So the greatest common factor 5647,3415 is 1.

Lets's calculate LCM of 716,428

2 716, 428
2 358, 214
179, 107

∴ So the LCM of the given numbers is 2 x 2 x 179 x 107 = 76612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76612

Therefore, the GCF of Fractions 5647/716,3415/428 is 1/76612

Least Common Multiple of 716,428 with GCF Formula

Least Common Multiple of 716,428 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 716,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,428) = 4

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

GCF(716,428) x common factors =4 x 1 = 4

LCM(716,428) = ( 716 × 428 ) / 4

LCM(716,428) = 306448 / 4

LCM(716,428) = 76612


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 5647/716, 3415/428

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 5647/716, 3415/428?

Answer: GCF of Numerators as per given numbers 5647/716, 3415/428 is

GCF of Numerators i.e. for 5647,3415 is 1

LCM of denominators i.e. for 716,428 is 76612.

Thus, GCF of Fractions is 1/76612.Finally, GCF of Fractions for 5647/716, 3415/428 is 1/76612.