Greatest Common Factor of 1962/947, 6645/2201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1962/947, 6645/2201

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 1962/947,6645/2201

Given fractions are 1962/947,6645/2201

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 1962,6645

Greatest Common Factor of Numerators i.e. GCF of 1962,6645 is 3 .

LCM of Denominators means LCM of 947,2201 as per the given fractions.

LCM of 947,2201 is 2084347 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1962,6645

GCF of Fractions 1962/947,6645/2201 is 3/2084347

3 1962, 6645
654, 2215

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1962,6645 By Matching Biggest Common Factor Method

Greatest Common Factor of 1962,6645 By Matching Biggest Common Factor Method

Factors of 1962

List of positive integer factors of 1962 that divides 1962 without a remainder.

1,2,3,6,9,18,109,218,327,654,981,1962

Factors of 6645

List of positive integer factors of 6645 that divides 6645 without a remainder.

1,3,5,15,443,1329,2215,6645

Greatest Common Factor

We found the factors 1962,6645 . The biggest common factor number is the GCF number.
So the greatest common factor 1962,6645 is 3.

Lets's calculate LCM of 947,2201

Given numbers has no common factors except 1. So, there LCM is their product i.e 2084347

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2084347

Therefore, the GCF of Fractions 1962/947,6645/2201 is 3/2084347

Least Common Multiple of 947,2201 with GCF Formula

Least Common Multiple of 947,2201 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 947,2201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,2201) = 1

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

GCF(947,2201) x common factors =1 x 1 = 1

LCM(947,2201) = ( 947 × 2201 ) / 1

LCM(947,2201) = 2084347 / 1

LCM(947,2201) = 2084347


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 1962/947, 6645/2201

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 1962/947, 6645/2201?

Answer: GCF of Numerators as per given numbers 1962/947, 6645/2201 is

GCF of Numerators i.e. for 1962,6645 is 3

LCM of denominators i.e. for 947,2201 is 2084347.

Thus, GCF of Fractions is 3/2084347.Finally, GCF of Fractions for 1962/947, 6645/2201 is 3/2084347.