How to Find GCF of 13/280, 77/393, 156/641?

GCF of 13/280, 77/393, 156/641

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 13/280, 77/393, 156/641 i.e 1/70535640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/280, 77/393, 156/641.

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 13/280,77/393,156/641?

Given fractions are 13/280,77/393,156/641

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 13/280,77/393,156/641, numerators are 13,77,156

Denominators are 280,393,641

The GCF of 13,77,156 is 1 .

LCM of 280,393,641 is 70535640.

The greatest common factor of 13/280,77/393,156/641 = [GCF of 13,77,156]/[LCM of 280,393,641]= 1/70535640

Therefore, the GCF of 13/280,77/393,156/641 is 1/70535640.

Greatest Common Factor of 13,77,156

To find the highest common factor of 13,77,156, 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 77 are 1, 7, 11, 77

The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

The HCF of 13,77,156 is 1.

Lets's calculate GCF of 13,77,156

Greatest Common Factor (GCF) of 13,77,156 By Common Division

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

Greatest Common Factor of 13,77,156 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 77

1,7,11,77

Now, list down the factors of 156

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 13,77,156 . The biggest common factor number is the GCF number.
So the greatest common factor 13,77,156 is 1.

Lets's calculate LCM of 280,393,641

Lowest Common Multiple of 280,393,641 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 70535640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70535640

Therefore, the GCF of Fractions 13/280,77/393,156/641 is 1/70535640

Least Common Multiple of 280,393,641 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 280,393,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,393,641) = 1

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

GCF(280,393,641) x common factors =1 x 1 = 1

LCM(280,393,641) = ( 280 × 393 × 641 ) / 1

LCM(280,393,641) = 70535640 / 1

LCM(280,393,641) = 70535640

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FAQs on GCF of Fractions of 13/280, 77/393, 156/641

1. What is the HCF of 13,77,156?

The HCF of 13,77,156 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 13/280, 77/393, 156/641?

Answer: GCF of Numerators as per given numbers 13/280, 77/393, 156/641 is

GCF of Numerators i.e. for 13,77,156 is 1

LCM of denominators i.e. for 280,393,641 is 70535640.

Thus, GCF of Fractions is 1/70535640.Finally, GCF of Fractions for 13/280, 77/393, 156/641 is 1/70535640.