How to Find GCF of 9365/25, 7658/477?

GCF of 9365/25, 7658/477

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 9365/25, 7658/477 i.e 1/11925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9365/25, 7658/477.

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 9365/25,7658/477?

Given fractions are 9365/25,7658/477

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 9365/25,7658/477, numerators are 9365,7658

Denominators are 25,477

The GCF of 9365,7658 is 1 .

LCM of 25,477 is 11925.

The greatest common factor of 9365/25,7658/477 = [GCF of 9365,7658]/[LCM of 25,477]= 1/11925

Therefore, the GCF of 9365/25,7658/477 is 1/11925.

Greatest Common Factor of 9365,7658

To find the highest common factor of 9365,7658, we have to find the factors of both numbers and list the highest common factor.

The factors of 9365 are 1, 5, 1873, 9365

The factors of 7658 are 1, 2, 7, 14, 547, 1094, 3829, 7658

The HCF of 9365,7658 is 1.

Lets's calculate GCF of 9365,7658

Greatest Common Factor (GCF) of 9365,7658 By Common Division

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

Greatest Common Factor of 9365,7658 By Matching Biggest Common Factor Method

Now, list down the factors of 9365

1,5,1873,9365

Now, list down the factors of 7658

1,2,7,14,547,1094,3829,7658

Greatest Common Factor

We found the factors 9365,7658 . The biggest common factor number is the GCF number.
So the greatest common factor 9365,7658 is 1.

Lets's calculate LCM of 25,477

Lowest Common Multiple of 25,477 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 11925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11925

Therefore, the GCF of Fractions 9365/25,7658/477 is 1/11925

Least Common Multiple of 25,477 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 25,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,477) = 1

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

GCF(25,477) x common factors =1 x 1 = 1

LCM(25,477) = ( 25 × 477 ) / 1

LCM(25,477) = 11925 / 1

LCM(25,477) = 11925

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FAQs on GCF of Fractions of 9365/25, 7658/477

1. What is the HCF of 9365,7658?

The HCF of 9365,7658 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 9365/25, 7658/477?

Answer: GCF of Numerators as per given numbers 9365/25, 7658/477 is

GCF of Numerators i.e. for 9365,7658 is 1

LCM of denominators i.e. for 25,477 is 11925.

Thus, GCF of Fractions is 1/11925.Finally, GCF of Fractions for 9365/25, 7658/477 is 1/11925.