Greatest Common Factor of 195/1687, 772/4843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 195/1687, 772/4843

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 195/1687,772/4843

Given fractions are 195/1687,772/4843

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 195,772

Greatest Common Factor of Numerators i.e. GCF of 195,772 is 1 .

LCM of Denominators means LCM of 1687,4843 as per the given fractions.

LCM of 1687,4843 is 8170141 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 195,772

GCF of Fractions 195/1687,772/4843 is 1/8170141

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

Greatest Common Factor of 195,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,772 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 195,772 . The biggest common factor number is the GCF number.
So the greatest common factor 195,772 is 1.

Lets's calculate LCM of 1687,4843

Given numbers has no common factors except 1. So, there LCM is their product i.e 8170141

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8170141

Therefore, the GCF of Fractions 195/1687,772/4843 is 1/8170141

Least Common Multiple of 1687,4843 with GCF Formula

Least Common Multiple of 1687,4843 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 1687,4843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1687,4843) = 1

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

GCF(1687,4843) x common factors =1 x 1 = 1

LCM(1687,4843) = ( 1687 × 4843 ) / 1

LCM(1687,4843) = 8170141 / 1

LCM(1687,4843) = 8170141


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 195/1687, 772/4843

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 195/1687, 772/4843?

Answer: GCF of Numerators as per given numbers 195/1687, 772/4843 is

GCF of Numerators i.e. for 195,772 is 1

LCM of denominators i.e. for 1687,4843 is 8170141.

Thus, GCF of Fractions is 1/8170141.Finally, GCF of Fractions for 195/1687, 772/4843 is 1/8170141.