Greatest Common Factor of 442/77, 795/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 442/77, 795/464

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 442/77,795/464

Given fractions are 442/77,795/464

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 442,795

Greatest Common Factor of Numerators i.e. GCF of 442,795 is 1 .

LCM of Denominators means LCM of 77,464 as per the given fractions.

LCM of 77,464 is 35728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 442,795

GCF of Fractions 442/77,795/464 is 1/35728

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

Greatest Common Factor of 442,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,795 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 795

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

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

Greatest Common Factor

We found the factors 442,795 . The biggest common factor number is the GCF number.
So the greatest common factor 442,795 is 1.

Lets's calculate LCM of 77,464

Given numbers has no common factors except 1. So, there LCM is their product i.e 35728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35728

Therefore, the GCF of Fractions 442/77,795/464 is 1/35728

Least Common Multiple of 77,464 with GCF Formula

Least Common Multiple of 77,464 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 77,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,464) = 1

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

GCF(77,464) x common factors =1 x 1 = 1

LCM(77,464) = ( 77 × 464 ) / 1

LCM(77,464) = 35728 / 1

LCM(77,464) = 35728


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 442/77, 795/464

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 442/77, 795/464?

Answer: GCF of Numerators as per given numbers 442/77, 795/464 is

GCF of Numerators i.e. for 442,795 is 1

LCM of denominators i.e. for 77,464 is 35728.

Thus, GCF of Fractions is 1/35728.Finally, GCF of Fractions for 442/77, 795/464 is 1/35728.