How to Find GCF of 7937/864, 3761/1662?

GCF of 7937/864, 3761/1662

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 7937/864, 3761/1662 i.e 1/239328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7937/864, 3761/1662.

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 7937/864,3761/1662?

Given fractions are 7937/864,3761/1662

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 7937/864,3761/1662, numerators are 7937,3761

Denominators are 864,1662

The GCF of 7937,3761 is 1 .

LCM of 864,1662 is 239328.

The greatest common factor of 7937/864,3761/1662 = [GCF of 7937,3761]/[LCM of 864,1662]= 1/239328

Therefore, the GCF of 7937/864,3761/1662 is 1/239328.

Greatest Common Factor of 7937,3761

To find the highest common factor of 7937,3761, we have to find the factors of both numbers and list the highest common factor.

The factors of 7937 are 1, 7937

The factors of 3761 are 1, 3761

The HCF of 7937,3761 is 1.

Lets's calculate GCF of 7937,3761

Greatest Common Factor (GCF) of 7937,3761 By Common Division

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

Greatest Common Factor of 7937,3761 By Matching Biggest Common Factor Method

Now, list down the factors of 7937

1,7937

Now, list down the factors of 3761

1,3761

Greatest Common Factor

We found the factors 7937,3761 . The biggest common factor number is the GCF number.
So the greatest common factor 7937,3761 is 1.

Lets's calculate LCM of 864,1662

Lowest Common Multiple of 864,1662 using Common Division

2	864, 1662
3	432, 831
	144, 277

∴ So the LCM of the given numbers is 2 x 3 x 144 x 277 = 239328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/239328

Therefore, the GCF of Fractions 7937/864,3761/1662 is 1/239328

Least Common Multiple of 864,1662 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 864,1662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,1662) = 6

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

GCF(864,1662) x common factors =6 x 1 = 6

LCM(864,1662) = ( 864 × 1662 ) / 6

LCM(864,1662) = 1435968 / 6

LCM(864,1662) = 239328

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FAQs on GCF of Fractions of 7937/864, 3761/1662

1. What is the HCF of 7937,3761?

The HCF of 7937,3761 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 7937/864, 3761/1662?

Answer: GCF of Numerators as per given numbers 7937/864, 3761/1662 is

GCF of Numerators i.e. for 7937,3761 is 1

LCM of denominators i.e. for 864,1662 is 239328.

Thus, GCF of Fractions is 1/239328.Finally, GCF of Fractions for 7937/864, 3761/1662 is 1/239328.