How to Find GCF of 7915/240, 6987/2624?

GCF of 7915/240, 6987/2624

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 7915/240, 6987/2624 i.e 1/39360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7915/240, 6987/2624.

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 7915/240,6987/2624?

Given fractions are 7915/240,6987/2624

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 7915/240,6987/2624, numerators are 7915,6987

Denominators are 240,2624

The GCF of 7915,6987 is 1 .

LCM of 240,2624 is 39360.

The greatest common factor of 7915/240,6987/2624 = [GCF of 7915,6987]/[LCM of 240,2624]= 1/39360

Therefore, the GCF of 7915/240,6987/2624 is 1/39360.

Greatest Common Factor of 7915,6987

To find the highest common factor of 7915,6987, we have to find the factors of both numbers and list the highest common factor.

The factors of 7915 are 1, 5, 1583, 7915

The factors of 6987 are 1, 3, 17, 51, 137, 411, 2329, 6987

The HCF of 7915,6987 is 1.

Lets's calculate GCF of 7915,6987

Greatest Common Factor (GCF) of 7915,6987 By Common Division

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

Greatest Common Factor of 7915,6987 By Matching Biggest Common Factor Method

Now, list down the factors of 7915

1,5,1583,7915

Now, list down the factors of 6987

1,3,17,51,137,411,2329,6987

Greatest Common Factor

We found the factors 7915,6987 . The biggest common factor number is the GCF number.
So the greatest common factor 7915,6987 is 1.

Lets's calculate LCM of 240,2624

Lowest Common Multiple of 240,2624 using Common Division

2	240, 2624
2	120, 1312
2	60, 656
2	30, 328
	15, 164

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 15 x 164 = 39360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39360

Therefore, the GCF of Fractions 7915/240,6987/2624 is 1/39360

Least Common Multiple of 240,2624 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 240,2624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,2624) = 16

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

GCF(240,2624) x common factors =16 x 1 = 16

LCM(240,2624) = ( 240 × 2624 ) / 16

LCM(240,2624) = 629760 / 16

LCM(240,2624) = 39360

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FAQs on GCF of Fractions of 7915/240, 6987/2624

1. What is the HCF of 7915,6987?

The HCF of 7915,6987 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 7915/240, 6987/2624?

Answer: GCF of Numerators as per given numbers 7915/240, 6987/2624 is

GCF of Numerators i.e. for 7915,6987 is 1

LCM of denominators i.e. for 240,2624 is 39360.

Thus, GCF of Fractions is 1/39360.Finally, GCF of Fractions for 7915/240, 6987/2624 is 1/39360.