How to Find GCF of 9265/789, 5977/7745?

GCF of 9265/789, 5977/7745

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 9265/789, 5977/7745 i.e 1/6110805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9265/789, 5977/7745.

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 9265/789,5977/7745?

Given fractions are 9265/789,5977/7745

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 9265/789,5977/7745, numerators are 9265,5977

Denominators are 789,7745

The GCF of 9265,5977 is 1 .

LCM of 789,7745 is 6110805.

The greatest common factor of 9265/789,5977/7745 = [GCF of 9265,5977]/[LCM of 789,7745]= 1/6110805

Therefore, the GCF of 9265/789,5977/7745 is 1/6110805.

Greatest Common Factor of 9265,5977

To find the highest common factor of 9265,5977, we have to find the factors of both numbers and list the highest common factor.

The factors of 9265 are 1, 5, 17, 85, 109, 545, 1853, 9265

The factors of 5977 are 1, 43, 139, 5977

The HCF of 9265,5977 is 1.

Lets's calculate GCF of 9265,5977

Greatest Common Factor (GCF) of 9265,5977 By Common Division

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

Greatest Common Factor of 9265,5977 By Matching Biggest Common Factor Method

Now, list down the factors of 9265

1,5,17,85,109,545,1853,9265

Now, list down the factors of 5977

1,43,139,5977

Greatest Common Factor

We found the factors 9265,5977 . The biggest common factor number is the GCF number.
So the greatest common factor 9265,5977 is 1.

Lets's calculate LCM of 789,7745

Lowest Common Multiple of 789,7745 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6110805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6110805

Therefore, the GCF of Fractions 9265/789,5977/7745 is 1/6110805

Least Common Multiple of 789,7745 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 789,7745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,7745) = 1

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

GCF(789,7745) x common factors =1 x 1 = 1

LCM(789,7745) = ( 789 × 7745 ) / 1

LCM(789,7745) = 6110805 / 1

LCM(789,7745) = 6110805

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9265/789, 5977/7745

1. What is the HCF of 9265,5977?

The HCF of 9265,5977 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 9265/789, 5977/7745?

Answer: GCF of Numerators as per given numbers 9265/789, 5977/7745 is

GCF of Numerators i.e. for 9265,5977 is 1

LCM of denominators i.e. for 789,7745 is 6110805.

Thus, GCF of Fractions is 1/6110805.Finally, GCF of Fractions for 9265/789, 5977/7745 is 1/6110805.