How to Find GCF of 13/274, 91/482, 922/776?

GCF of 13/274, 91/482, 922/776

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 13/274, 91/482, 922/776 i.e 1/25621192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/274, 91/482, 922/776.

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 13/274,91/482,922/776?

Given fractions are 13/274,91/482,922/776

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 13/274,91/482,922/776, numerators are 13,91,922

Denominators are 274,482,776

The GCF of 13,91,922 is 1 .

LCM of 274,482,776 is 25621192.

The greatest common factor of 13/274,91/482,922/776 = [GCF of 13,91,922]/[LCM of 274,482,776]= 1/25621192

Therefore, the GCF of 13/274,91/482,922/776 is 1/25621192.

Greatest Common Factor of 13,91,922

To find the highest common factor of 13,91,922, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 91 are 1, 7, 13, 91

The factors of 922 are 1, 2, 461, 922

The HCF of 13,91,922 is 1.

Lets's calculate GCF of 13,91,922

Greatest Common Factor (GCF) of 13,91,922 By Common Division

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

Greatest Common Factor of 13,91,922 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 91

1,7,13,91

Now, list down the factors of 922

1,2,461,922

Greatest Common Factor

We found the factors 13,91,922 . The biggest common factor number is the GCF number.
So the greatest common factor 13,91,922 is 1.

Lets's calculate LCM of 274,482,776

Lowest Common Multiple of 274,482,776 using Common Division

2	274, 482, 776
	137, 241, 388

∴ So the LCM of the given numbers is 2 x 137 x 241 x 388 = 25621192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25621192

Therefore, the GCF of Fractions 13/274,91/482,922/776 is 1/25621192

Least Common Multiple of 274,482,776 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 274,482,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,482,776) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(274,482,776) x common factors =2 x 2 = 4

LCM(274,482,776) = ( 274 × 482 × 776 ) / 4

LCM(274,482,776) = 102484768 / 4

LCM(274,482,776) = 25621192

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FAQs on GCF of Fractions of 13/274, 91/482, 922/776

1. What is the HCF of 13,91,922?

The HCF of 13,91,922 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 13/274, 91/482, 922/776?

Answer: GCF of Numerators as per given numbers 13/274, 91/482, 922/776 is

GCF of Numerators i.e. for 13,91,922 is 1

LCM of denominators i.e. for 274,482,776 is 25621192.

Thus, GCF of Fractions is 1/25621192.Finally, GCF of Fractions for 13/274, 91/482, 922/776 is 1/25621192.