Greatest Common Factor of 1625/126, 3724/3537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1625/126, 3724/3537

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 1625/126,3724/3537

Given fractions are 1625/126,3724/3537

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 1625,3724

Greatest Common Factor of Numerators i.e. GCF of 1625,3724 is 1 .

LCM of Denominators means LCM of 126,3537 as per the given fractions.

LCM of 126,3537 is 49518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1625,3724

GCF of Fractions 1625/126,3724/3537 is 1/49518

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

Greatest Common Factor of 1625,3724 By Matching Biggest Common Factor Method

Greatest Common Factor of 1625,3724 By Matching Biggest Common Factor Method

Factors of 1625

List of positive integer factors of 1625 that divides 1625 without a remainder.

1,5,13,25,65,125,325,1625

Factors of 3724

List of positive integer factors of 3724 that divides 3724 without a remainder.

1,2,4,7,14,19,28,38,49,76,98,133,196,266,532,931,1862,3724

Greatest Common Factor

We found the factors 1625,3724 . The biggest common factor number is the GCF number.
So the greatest common factor 1625,3724 is 1.

Lets's calculate LCM of 126,3537

3 126, 3537
3 42, 1179
14, 393

∴ So the LCM of the given numbers is 3 x 3 x 14 x 393 = 49518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49518

Therefore, the GCF of Fractions 1625/126,3724/3537 is 1/49518

Least Common Multiple of 126,3537 with GCF Formula

Least Common Multiple of 126,3537 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 126,3537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,3537) = 9

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

GCF(126,3537) x common factors =9 x 1 = 9

LCM(126,3537) = ( 126 × 3537 ) / 9

LCM(126,3537) = 445662 / 9

LCM(126,3537) = 49518


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 1625/126, 3724/3537

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 1625/126, 3724/3537?

Answer: GCF of Numerators as per given numbers 1625/126, 3724/3537 is

GCF of Numerators i.e. for 1625,3724 is 1

LCM of denominators i.e. for 126,3537 is 49518.

Thus, GCF of Fractions is 1/49518.Finally, GCF of Fractions for 1625/126, 3724/3537 is 1/49518.