How to Find GCF of 7841/824, 9715/1464?

GCF of 7841/824, 9715/1464

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 7841/824, 9715/1464 i.e 1/150792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7841/824, 9715/1464.

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 7841/824,9715/1464?

Given fractions are 7841/824,9715/1464

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 7841/824,9715/1464, numerators are 7841,9715

Denominators are 824,1464

The GCF of 7841,9715 is 1 .

LCM of 824,1464 is 150792.

The greatest common factor of 7841/824,9715/1464 = [GCF of 7841,9715]/[LCM of 824,1464]= 1/150792

Therefore, the GCF of 7841/824,9715/1464 is 1/150792.

Greatest Common Factor of 7841,9715

To find the highest common factor of 7841,9715, we have to find the factors of both numbers and list the highest common factor.

The factors of 7841 are 1, 7841

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

The HCF of 7841,9715 is 1.

Lets's calculate GCF of 7841,9715

Greatest Common Factor (GCF) of 7841,9715 By Common Division

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

Greatest Common Factor of 7841,9715 By Matching Biggest Common Factor Method

Now, list down the factors of 7841

1,7841

Now, list down the factors of 9715

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

Greatest Common Factor

We found the factors 7841,9715 . The biggest common factor number is the GCF number.
So the greatest common factor 7841,9715 is 1.

Lets's calculate LCM of 824,1464

Lowest Common Multiple of 824,1464 using Common Division

2	824, 1464
2	412, 732
2	206, 366
	103, 183

∴ So the LCM of the given numbers is 2 x 2 x 2 x 103 x 183 = 150792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150792

Therefore, the GCF of Fractions 7841/824,9715/1464 is 1/150792

Least Common Multiple of 824,1464 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 824,1464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,1464) = 8

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

GCF(824,1464) x common factors =8 x 1 = 8

LCM(824,1464) = ( 824 × 1464 ) / 8

LCM(824,1464) = 1206336 / 8

LCM(824,1464) = 150792

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FAQs on GCF of Fractions of 7841/824, 9715/1464

1. What is the HCF of 7841,9715?

The HCF of 7841,9715 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 7841/824, 9715/1464?

Answer: GCF of Numerators as per given numbers 7841/824, 9715/1464 is

GCF of Numerators i.e. for 7841,9715 is 1

LCM of denominators i.e. for 824,1464 is 150792.

Thus, GCF of Fractions is 1/150792.Finally, GCF of Fractions for 7841/824, 9715/1464 is 1/150792.