Greatest Common Factor of 795/244, 1965/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 795/244, 1965/455

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 795/244,1965/455

Given fractions are 795/244,1965/455

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 795,1965

Greatest Common Factor of Numerators i.e. GCF of 795,1965 is 15 .

LCM of Denominators means LCM of 244,455 as per the given fractions.

LCM of 244,455 is 111020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 795,1965

GCF of Fractions 795/244,1965/455 is 15/111020

3 795, 1965
5 265, 655
53, 131

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 795,1965 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,1965 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 1965

List of positive integer factors of 1965 that divides 1965 without a remainder.

1,3,5,15,131,393,655,1965

Greatest Common Factor

We found the factors 795,1965 . The biggest common factor number is the GCF number.
So the greatest common factor 795,1965 is 15.

Lets's calculate LCM of 244,455

Given numbers has no common factors except 1. So, there LCM is their product i.e 111020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/111020

Therefore, the GCF of Fractions 795/244,1965/455 is 15/111020

Least Common Multiple of 244,455 with GCF Formula

Least Common Multiple of 244,455 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 244,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,455) = 1

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

GCF(244,455) x common factors =1 x 1 = 1

LCM(244,455) = ( 244 × 455 ) / 1

LCM(244,455) = 111020 / 1

LCM(244,455) = 111020


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 795/244, 1965/455

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 795/244, 1965/455?

Answer: GCF of Numerators as per given numbers 795/244, 1965/455 is

GCF of Numerators i.e. for 795,1965 is 15

LCM of denominators i.e. for 244,455 is 111020.

Thus, GCF of Fractions is 15/111020.Finally, GCF of Fractions for 795/244, 1965/455 is 15/111020.