Greatest Common Factor of 1631/942, 1100/5891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1631/942, 1100/5891

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 1631/942,1100/5891

Given fractions are 1631/942,1100/5891

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 1631,1100

Greatest Common Factor of Numerators i.e. GCF of 1631,1100 is 1 .

LCM of Denominators means LCM of 942,5891 as per the given fractions.

LCM of 942,5891 is 5549322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1631,1100

GCF of Fractions 1631/942,1100/5891 is 1/5549322

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

Greatest Common Factor of 1631,1100 By Matching Biggest Common Factor Method

Greatest Common Factor of 1631,1100 By Matching Biggest Common Factor Method

Factors of 1631

List of positive integer factors of 1631 that divides 1631 without a remainder.

1,7,233,1631

Factors of 1100

List of positive integer factors of 1100 that divides 1100 without a remainder.

1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100

Greatest Common Factor

We found the factors 1631,1100 . The biggest common factor number is the GCF number.
So the greatest common factor 1631,1100 is 1.

Lets's calculate LCM of 942,5891

Given numbers has no common factors except 1. So, there LCM is their product i.e 5549322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5549322

Therefore, the GCF of Fractions 1631/942,1100/5891 is 1/5549322

Least Common Multiple of 942,5891 with GCF Formula

Least Common Multiple of 942,5891 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 942,5891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,5891) = 1

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

GCF(942,5891) x common factors =1 x 1 = 1

LCM(942,5891) = ( 942 × 5891 ) / 1

LCM(942,5891) = 5549322 / 1

LCM(942,5891) = 5549322


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 1631/942, 1100/5891

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 1631/942, 1100/5891?

Answer: GCF of Numerators as per given numbers 1631/942, 1100/5891 is

GCF of Numerators i.e. for 1631,1100 is 1

LCM of denominators i.e. for 942,5891 is 5549322.

Thus, GCF of Fractions is 1/5549322.Finally, GCF of Fractions for 1631/942, 1100/5891 is 1/5549322.