Greatest Common Factor of 546/35, 5201/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/35, 5201/725

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 546/35,5201/725

Given fractions are 546/35,5201/725

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 546,5201

Greatest Common Factor of Numerators i.e. GCF of 546,5201 is 7 .

LCM of Denominators means LCM of 35,725 as per the given fractions.

LCM of 35,725 is 5075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,5201

GCF of Fractions 546/35,5201/725 is 7/5075

7 546, 5201
78, 743

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 546,5201 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,5201 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 5201

List of positive integer factors of 5201 that divides 5201 without a remainder.

1,7,743,5201

Greatest Common Factor

We found the factors 546,5201 . The biggest common factor number is the GCF number.
So the greatest common factor 546,5201 is 7.

Lets's calculate LCM of 35,725

5 35, 725
7, 145

∴ So the LCM of the given numbers is 5 x 7 x 145 = 5075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5075

Therefore, the GCF of Fractions 546/35,5201/725 is 7/5075

Least Common Multiple of 35,725 with GCF Formula

Least Common Multiple of 35,725 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 35,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,725) = 5

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

GCF(35,725) x common factors =5 x 1 = 5

LCM(35,725) = ( 35 × 725 ) / 5

LCM(35,725) = 25375 / 5

LCM(35,725) = 5075


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 546/35, 5201/725

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 546/35, 5201/725?

Answer: GCF of Numerators as per given numbers 546/35, 5201/725 is

GCF of Numerators i.e. for 546,5201 is 7

LCM of denominators i.e. for 35,725 is 5075.

Thus, GCF of Fractions is 7/5075.Finally, GCF of Fractions for 546/35, 5201/725 is 7/5075.