How to Find GCF of 7162/404, 6252/2381?

GCF of 7162/404, 6252/2381

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 7162/404, 6252/2381 i.e 2/961924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7162/404, 6252/2381.

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 7162/404,6252/2381?

Given fractions are 7162/404,6252/2381

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 7162/404,6252/2381, numerators are 7162,6252

Denominators are 404,2381

The GCF of 7162,6252 is 2 .

LCM of 404,2381 is 961924.

The greatest common factor of 7162/404,6252/2381 = [GCF of 7162,6252]/[LCM of 404,2381]= 2/961924

Therefore, the GCF of 7162/404,6252/2381 is 2/961924.

Greatest Common Factor of 7162,6252

To find the highest common factor of 7162,6252, we have to find the factors of both numbers and list the highest common factor.

The factors of 7162 are 1, 2, 3581, 7162

The factors of 6252 are 1, 2, 3, 4, 6, 12, 521, 1042, 1563, 2084, 3126, 6252

The HCF of 7162,6252 is 2.

Lets's calculate GCF of 7162,6252

Greatest Common Factor (GCF) of 7162,6252 By Common Division

2	7162, 6252
	3581, 3126

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7162,6252 By Matching Biggest Common Factor Method

Now, list down the factors of 7162

1,2,3581,7162

Now, list down the factors of 6252

1,2,3,4,6,12,521,1042,1563,2084,3126,6252

Greatest Common Factor

We found the factors 7162,6252 . The biggest common factor number is the GCF number.
So the greatest common factor 7162,6252 is 2.

Lets's calculate LCM of 404,2381

Lowest Common Multiple of 404,2381 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 961924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/961924

Therefore, the GCF of Fractions 7162/404,6252/2381 is 2/961924

Least Common Multiple of 404,2381 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 404,2381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,2381) = 1

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

GCF(404,2381) x common factors =1 x 1 = 1

LCM(404,2381) = ( 404 × 2381 ) / 1

LCM(404,2381) = 961924 / 1

LCM(404,2381) = 961924

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FAQs on GCF of Fractions of 7162/404, 6252/2381

1. What is the HCF of 7162,6252?

The HCF of 7162,6252 is 2

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 7162/404, 6252/2381?

Answer: GCF of Numerators as per given numbers 7162/404, 6252/2381 is

GCF of Numerators i.e. for 7162,6252 is 2

LCM of denominators i.e. for 404,2381 is 961924.

Thus, GCF of Fractions is 2/961924.Finally, GCF of Fractions for 7162/404, 6252/2381 is 2/961924.