How to Find GCF of 819/25, 715/6957?

GCF of 819/25, 715/6957

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 819/25, 715/6957 i.e 13/173925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 819/25, 715/6957.

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 819/25,715/6957?

Given fractions are 819/25,715/6957

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 819/25,715/6957, numerators are 819,715

Denominators are 25,6957

The GCF of 819,715 is 13 .

LCM of 25,6957 is 173925.

The greatest common factor of 819/25,715/6957 = [GCF of 819,715]/[LCM of 25,6957]= 13/173925

Therefore, the GCF of 819/25,715/6957 is 13/173925.

Greatest Common Factor of 819,715

To find the highest common factor of 819,715, we have to find the factors of both numbers and list the highest common factor.

The factors of 819 are 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715

The HCF of 819,715 is 13.

Lets's calculate GCF of 819,715

Greatest Common Factor (GCF) of 819,715 By Common Division

13	819, 715
	63, 55

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 819,715 By Matching Biggest Common Factor Method

Now, list down the factors of 819

1,3,7,9,13,21,39,63,91,117,273,819

Now, list down the factors of 715

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 819,715 . The biggest common factor number is the GCF number.
So the greatest common factor 819,715 is 13.

Lets's calculate LCM of 25,6957

Lowest Common Multiple of 25,6957 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 173925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/173925

Therefore, the GCF of Fractions 819/25,715/6957 is 13/173925

Least Common Multiple of 25,6957 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 25,6957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,6957) = 1

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

GCF(25,6957) x common factors =1 x 1 = 1

LCM(25,6957) = ( 25 × 6957 ) / 1

LCM(25,6957) = 173925 / 1

LCM(25,6957) = 173925

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FAQs on GCF of Fractions of 819/25, 715/6957

1. What is the HCF of 819,715?

The HCF of 819,715 is 13

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 819/25, 715/6957?

Answer: GCF of Numerators as per given numbers 819/25, 715/6957 is

GCF of Numerators i.e. for 819,715 is 13

LCM of denominators i.e. for 25,6957 is 173925.

Thus, GCF of Fractions is 13/173925.Finally, GCF of Fractions for 819/25, 715/6957 is 13/173925.