How to Find GCF of 7821/932, 3791/8363?

GCF of 7821/932, 3791/8363

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 7821/932, 3791/8363 i.e 1/7794316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7821/932, 3791/8363.

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 7821/932,3791/8363?

Given fractions are 7821/932,3791/8363

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 7821/932,3791/8363, numerators are 7821,3791

Denominators are 932,8363

The GCF of 7821,3791 is 1 .

LCM of 932,8363 is 7794316.

The greatest common factor of 7821/932,3791/8363 = [GCF of 7821,3791]/[LCM of 932,8363]= 1/7794316

Therefore, the GCF of 7821/932,3791/8363 is 1/7794316.

Greatest Common Factor of 7821,3791

To find the highest common factor of 7821,3791, we have to find the factors of both numbers and list the highest common factor.

The factors of 7821 are 1, 3, 9, 11, 33, 79, 99, 237, 711, 869, 2607, 7821

The factors of 3791 are 1, 17, 223, 3791

The HCF of 7821,3791 is 1.

Lets's calculate GCF of 7821,3791

Greatest Common Factor (GCF) of 7821,3791 By Common Division

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

Greatest Common Factor of 7821,3791 By Matching Biggest Common Factor Method

Now, list down the factors of 7821

1,3,9,11,33,79,99,237,711,869,2607,7821

Now, list down the factors of 3791

1,17,223,3791

Greatest Common Factor

We found the factors 7821,3791 . The biggest common factor number is the GCF number.
So the greatest common factor 7821,3791 is 1.

Lets's calculate LCM of 932,8363

Lowest Common Multiple of 932,8363 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7794316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7794316

Therefore, the GCF of Fractions 7821/932,3791/8363 is 1/7794316

Least Common Multiple of 932,8363 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 932,8363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,8363) = 1

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

GCF(932,8363) x common factors =1 x 1 = 1

LCM(932,8363) = ( 932 × 8363 ) / 1

LCM(932,8363) = 7794316 / 1

LCM(932,8363) = 7794316

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FAQs on GCF of Fractions of 7821/932, 3791/8363

1. What is the HCF of 7821,3791?

The HCF of 7821,3791 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 7821/932, 3791/8363?

Answer: GCF of Numerators as per given numbers 7821/932, 3791/8363 is

GCF of Numerators i.e. for 7821,3791 is 1

LCM of denominators i.e. for 932,8363 is 7794316.

Thus, GCF of Fractions is 1/7794316.Finally, GCF of Fractions for 7821/932, 3791/8363 is 1/7794316.