How to Find GCF of 9357/629, 7763/4696?

GCF of 9357/629, 7763/4696

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 9357/629, 7763/4696 i.e 1/2953784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9357/629, 7763/4696.

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 9357/629,7763/4696?

Given fractions are 9357/629,7763/4696

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 9357/629,7763/4696, numerators are 9357,7763

Denominators are 629,4696

The GCF of 9357,7763 is 1 .

LCM of 629,4696 is 2953784.

The greatest common factor of 9357/629,7763/4696 = [GCF of 9357,7763]/[LCM of 629,4696]= 1/2953784

Therefore, the GCF of 9357/629,7763/4696 is 1/2953784.

Greatest Common Factor of 9357,7763

To find the highest common factor of 9357,7763, we have to find the factors of both numbers and list the highest common factor.

The factors of 9357 are 1, 3, 3119, 9357

The factors of 7763 are 1, 7, 1109, 7763

The HCF of 9357,7763 is 1.

Lets's calculate GCF of 9357,7763

Greatest Common Factor (GCF) of 9357,7763 By Common Division

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

Greatest Common Factor of 9357,7763 By Matching Biggest Common Factor Method

Now, list down the factors of 9357

1,3,3119,9357

Now, list down the factors of 7763

1,7,1109,7763

Greatest Common Factor

We found the factors 9357,7763 . The biggest common factor number is the GCF number.
So the greatest common factor 9357,7763 is 1.

Lets's calculate LCM of 629,4696

Lowest Common Multiple of 629,4696 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2953784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2953784

Therefore, the GCF of Fractions 9357/629,7763/4696 is 1/2953784

Least Common Multiple of 629,4696 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 629,4696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,4696) = 1

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

GCF(629,4696) x common factors =1 x 1 = 1

LCM(629,4696) = ( 629 × 4696 ) / 1

LCM(629,4696) = 2953784 / 1

LCM(629,4696) = 2953784

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FAQs on GCF of Fractions of 9357/629, 7763/4696

1. What is the HCF of 9357,7763?

The HCF of 9357,7763 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 9357/629, 7763/4696?

Answer: GCF of Numerators as per given numbers 9357/629, 7763/4696 is

GCF of Numerators i.e. for 9357,7763 is 1

LCM of denominators i.e. for 629,4696 is 2953784.

Thus, GCF of Fractions is 1/2953784.Finally, GCF of Fractions for 9357/629, 7763/4696 is 1/2953784.