How to Find GCF of 791/500, 1160/784?

GCF of 791/500, 1160/784

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 791/500, 1160/784 i.e 1/98000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 791/500, 1160/784.

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 791/500,1160/784?

Given fractions are 791/500,1160/784

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 791/500,1160/784, numerators are 791,1160

Denominators are 500,784

The GCF of 791,1160 is 1 .

LCM of 500,784 is 98000.

The greatest common factor of 791/500,1160/784 = [GCF of 791,1160]/[LCM of 500,784]= 1/98000

Therefore, the GCF of 791/500,1160/784 is 1/98000.

Greatest Common Factor of 791,1160

To find the highest common factor of 791,1160, we have to find the factors of both numbers and list the highest common factor.

The factors of 791 are 1, 7, 113, 791

The factors of 1160 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160

The HCF of 791,1160 is 1.

Lets's calculate GCF of 791,1160

Greatest Common Factor (GCF) of 791,1160 By Common Division

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

Greatest Common Factor of 791,1160 By Matching Biggest Common Factor Method

Now, list down the factors of 791

1,7,113,791

Now, list down the factors of 1160

1,2,4,5,8,10,20,29,40,58,116,145,232,290,580,1160

Greatest Common Factor

We found the factors 791,1160 . The biggest common factor number is the GCF number.
So the greatest common factor 791,1160 is 1.

Lets's calculate LCM of 500,784

Lowest Common Multiple of 500,784 using Common Division

2	500, 784
2	250, 392
	125, 196

∴ So the LCM of the given numbers is 2 x 2 x 125 x 196 = 98000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98000

Therefore, the GCF of Fractions 791/500,1160/784 is 1/98000

Least Common Multiple of 500,784 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 500,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,784) = 4

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

GCF(500,784) x common factors =4 x 1 = 4

LCM(500,784) = ( 500 × 784 ) / 4

LCM(500,784) = 392000 / 4

LCM(500,784) = 98000

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FAQs on GCF of Fractions of 791/500, 1160/784

1. What is the HCF of 791,1160?

The HCF of 791,1160 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 791/500, 1160/784?

Answer: GCF of Numerators as per given numbers 791/500, 1160/784 is

GCF of Numerators i.e. for 791,1160 is 1

LCM of denominators i.e. for 500,784 is 98000.

Thus, GCF of Fractions is 1/98000.Finally, GCF of Fractions for 791/500, 1160/784 is 1/98000.