How to Find GCF of 2937/792, 9715/1452?

GCF of 2937/792, 9715/1452

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 2937/792, 9715/1452 i.e 1/8712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2937/792, 9715/1452.

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 2937/792,9715/1452?

Given fractions are 2937/792,9715/1452

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 2937/792,9715/1452, numerators are 2937,9715

Denominators are 792,1452

The GCF of 2937,9715 is 1 .

LCM of 792,1452 is 8712.

The greatest common factor of 2937/792,9715/1452 = [GCF of 2937,9715]/[LCM of 792,1452]= 1/8712

Therefore, the GCF of 2937/792,9715/1452 is 1/8712.

Greatest Common Factor of 2937,9715

To find the highest common factor of 2937,9715, we have to find the factors of both numbers and list the highest common factor.

The factors of 2937 are 1, 3, 11, 33, 89, 267, 979, 2937

The factors of 9715 are 1, 5, 29, 67, 145, 335, 1943, 9715

The HCF of 2937,9715 is 1.

Lets's calculate GCF of 2937,9715

Greatest Common Factor (GCF) of 2937,9715 By Common Division

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

Greatest Common Factor of 2937,9715 By Matching Biggest Common Factor Method

Now, list down the factors of 2937

1,3,11,33,89,267,979,2937

Now, list down the factors of 9715

1,5,29,67,145,335,1943,9715

Greatest Common Factor

We found the factors 2937,9715 . The biggest common factor number is the GCF number.
So the greatest common factor 2937,9715 is 1.

Lets's calculate LCM of 792,1452

Lowest Common Multiple of 792,1452 using Common Division

2	792, 1452
2	396, 726
3	198, 363
11	66, 121
	6, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 6 x 11 = 8712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8712

Therefore, the GCF of Fractions 2937/792,9715/1452 is 1/8712

Least Common Multiple of 792,1452 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 792,1452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,1452) = 132

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

GCF(792,1452) x common factors =132 x 1 = 132

LCM(792,1452) = ( 792 × 1452 ) / 132

LCM(792,1452) = 1149984 / 132

LCM(792,1452) = 8712

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FAQs on GCF of Fractions of 2937/792, 9715/1452

1. What is the HCF of 2937,9715?

The HCF of 2937,9715 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 2937/792, 9715/1452?

Answer: GCF of Numerators as per given numbers 2937/792, 9715/1452 is

GCF of Numerators i.e. for 2937,9715 is 1

LCM of denominators i.e. for 792,1452 is 8712.

Thus, GCF of Fractions is 1/8712.Finally, GCF of Fractions for 2937/792, 9715/1452 is 1/8712.