How to Find GCF of 3625/502, 2377/7246?

GCF of 3625/502, 2377/7246

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3625/502, 2377/7246 i.e 1/1818746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3625/502, 2377/7246.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3625/502,2377/7246?

Given fractions are 3625/502,2377/7246

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3625/502,2377/7246, numerators are 3625,2377

Denominators are 502,7246

The GCF of 3625,2377 is 1 .

LCM of 502,7246 is 1818746.

The greatest common factor of 3625/502,2377/7246 = [GCF of 3625,2377]/[LCM of 502,7246]= 1/1818746

Therefore, the GCF of 3625/502,2377/7246 is 1/1818746.

Greatest Common Factor of 3625,2377

To find the highest common factor of 3625,2377, we have to find the factors of both numbers and list the highest common factor.

The factors of 3625 are 1, 5, 25, 29, 125, 145, 725, 3625

The factors of 2377 are 1, 2377

The HCF of 3625,2377 is 1.

Lets's calculate GCF of 3625,2377

Greatest Common Factor (GCF) of 3625,2377 By Common Division

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

Greatest Common Factor of 3625,2377 By Matching Biggest Common Factor Method

Now, list down the factors of 3625

1,5,25,29,125,145,725,3625

Now, list down the factors of 2377

1,2377

Greatest Common Factor

We found the factors 3625,2377 . The biggest common factor number is the GCF number.
So the greatest common factor 3625,2377 is 1.

Lets's calculate LCM of 502,7246

Lowest Common Multiple of 502,7246 using Common Division

2	502, 7246
	251, 3623

∴ So the LCM of the given numbers is 2 x 251 x 3623 = 1818746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1818746

Therefore, the GCF of Fractions 3625/502,2377/7246 is 1/1818746

Least Common Multiple of 502,7246 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 502,7246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,7246) = 2

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

GCF(502,7246) x common factors =2 x 1 = 2

LCM(502,7246) = ( 502 × 7246 ) / 2

LCM(502,7246) = 3637492 / 2

LCM(502,7246) = 1818746

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FAQs on GCF of Fractions of 3625/502, 2377/7246

1. What is the HCF of 3625,2377?

The HCF of 3625,2377 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 3625/502, 2377/7246?

Answer: GCF of Numerators as per given numbers 3625/502, 2377/7246 is

GCF of Numerators i.e. for 3625,2377 is 1

LCM of denominators i.e. for 502,7246 is 1818746.

Thus, GCF of Fractions is 1/1818746.Finally, GCF of Fractions for 3625/502, 2377/7246 is 1/1818746.