Greatest Common Factor of 775/99, 2025/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 775/99, 2025/966

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 775/99,2025/966

Given fractions are 775/99,2025/966

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 775,2025

Greatest Common Factor of Numerators i.e. GCF of 775,2025 is 25 .

LCM of Denominators means LCM of 99,966 as per the given fractions.

LCM of 99,966 is 31878 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 775,2025

GCF of Fractions 775/99,2025/966 is 25/31878

5 775, 2025
5 155, 405
31, 81

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 775,2025 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,2025 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 2025

List of positive integer factors of 2025 that divides 2025 without a remainder.

1,3,5,9,15,25,27,45,75,81,135,225,405,675,2025

Greatest Common Factor

We found the factors 775,2025 . The biggest common factor number is the GCF number.
So the greatest common factor 775,2025 is 25.

Lets's calculate LCM of 99,966

3 99, 966
33, 322

∴ So the LCM of the given numbers is 3 x 33 x 322 = 31878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/31878

Therefore, the GCF of Fractions 775/99,2025/966 is 25/31878

Least Common Multiple of 99,966 with GCF Formula

Least Common Multiple of 99,966 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 99,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,966) = 3

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

GCF(99,966) x common factors =3 x 1 = 3

LCM(99,966) = ( 99 × 966 ) / 3

LCM(99,966) = 95634 / 3

LCM(99,966) = 31878


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 775/99, 2025/966

1. 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.

2. What is the GCF of Fractions for 775/99, 2025/966?

Answer: GCF of Numerators as per given numbers 775/99, 2025/966 is

GCF of Numerators i.e. for 775,2025 is 25

LCM of denominators i.e. for 99,966 is 31878.

Thus, GCF of Fractions is 25/31878.Finally, GCF of Fractions for 775/99, 2025/966 is 25/31878.