Greatest Common Factor of 1977/695, 1003/9857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1977/695, 1003/9857

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 1977/695,1003/9857

Given fractions are 1977/695,1003/9857

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 1977,1003

Greatest Common Factor of Numerators i.e. GCF of 1977,1003 is 1 .

LCM of Denominators means LCM of 695,9857 as per the given fractions.

LCM of 695,9857 is 6850615 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1977,1003

GCF of Fractions 1977/695,1003/9857 is 1/6850615

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

Greatest Common Factor of 1977,1003 By Matching Biggest Common Factor Method

Greatest Common Factor of 1977,1003 By Matching Biggest Common Factor Method

Factors of 1977

List of positive integer factors of 1977 that divides 1977 without a remainder.

1,3,659,1977

Factors of 1003

List of positive integer factors of 1003 that divides 1003 without a remainder.

1,17,59,1003

Greatest Common Factor

We found the factors 1977,1003 . The biggest common factor number is the GCF number.
So the greatest common factor 1977,1003 is 1.

Lets's calculate LCM of 695,9857

Given numbers has no common factors except 1. So, there LCM is their product i.e 6850615

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6850615

Therefore, the GCF of Fractions 1977/695,1003/9857 is 1/6850615

Least Common Multiple of 695,9857 with GCF Formula

Least Common Multiple of 695,9857 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 695,9857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,9857) = 1

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

GCF(695,9857) x common factors =1 x 1 = 1

LCM(695,9857) = ( 695 × 9857 ) / 1

LCM(695,9857) = 6850615 / 1

LCM(695,9857) = 6850615


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 1977/695, 1003/9857

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 1977/695, 1003/9857?

Answer: GCF of Numerators as per given numbers 1977/695, 1003/9857 is

GCF of Numerators i.e. for 1977,1003 is 1

LCM of denominators i.e. for 695,9857 is 6850615.

Thus, GCF of Fractions is 1/6850615.Finally, GCF of Fractions for 1977/695, 1003/9857 is 1/6850615.