Greatest Common Factor of 7025/518, 5408/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7025/518, 5408/737

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 7025/518,5408/737

Given fractions are 7025/518,5408/737

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 7025,5408

Greatest Common Factor of Numerators i.e. GCF of 7025,5408 is 1 .

LCM of Denominators means LCM of 518,737 as per the given fractions.

LCM of 518,737 is 381766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7025,5408

GCF of Fractions 7025/518,5408/737 is 1/381766

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

Greatest Common Factor of 7025,5408 By Matching Biggest Common Factor Method

Greatest Common Factor of 7025,5408 By Matching Biggest Common Factor Method

Factors of 7025

List of positive integer factors of 7025 that divides 7025 without a remainder.

1,5,25,281,1405,7025

Factors of 5408

List of positive integer factors of 5408 that divides 5408 without a remainder.

1,2,4,8,13,16,26,32,52,104,169,208,338,416,676,1352,2704,5408

Greatest Common Factor

We found the factors 7025,5408 . The biggest common factor number is the GCF number.
So the greatest common factor 7025,5408 is 1.

Lets's calculate LCM of 518,737

Given numbers has no common factors except 1. So, there LCM is their product i.e 381766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381766

Therefore, the GCF of Fractions 7025/518,5408/737 is 1/381766

Least Common Multiple of 518,737 with GCF Formula

Least Common Multiple of 518,737 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 518,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,737) = 1

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

GCF(518,737) x common factors =1 x 1 = 1

LCM(518,737) = ( 518 × 737 ) / 1

LCM(518,737) = 381766 / 1

LCM(518,737) = 381766


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 7025/518, 5408/737

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 7025/518, 5408/737?

Answer: GCF of Numerators as per given numbers 7025/518, 5408/737 is

GCF of Numerators i.e. for 7025,5408 is 1

LCM of denominators i.e. for 518,737 is 381766.

Thus, GCF of Fractions is 1/381766.Finally, GCF of Fractions for 7025/518, 5408/737 is 1/381766.