Greatest Common Factor of 1083/749, 3622/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1083/749, 3622/889

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 1083/749,3622/889

Given fractions are 1083/749,3622/889

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 1083,3622

Greatest Common Factor of Numerators i.e. GCF of 1083,3622 is 1 .

LCM of Denominators means LCM of 749,889 as per the given fractions.

LCM of 749,889 is 95123 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1083,3622

GCF of Fractions 1083/749,3622/889 is 1/95123

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

Greatest Common Factor of 1083,3622 By Matching Biggest Common Factor Method

Greatest Common Factor of 1083,3622 By Matching Biggest Common Factor Method

Factors of 1083

List of positive integer factors of 1083 that divides 1083 without a remainder.

1,3,19,57,361,1083

Factors of 3622

List of positive integer factors of 3622 that divides 3622 without a remainder.

1,2,1811,3622

Greatest Common Factor

We found the factors 1083,3622 . The biggest common factor number is the GCF number.
So the greatest common factor 1083,3622 is 1.

Lets's calculate LCM of 749,889

7 749, 889
107, 127

∴ So the LCM of the given numbers is 7 x 107 x 127 = 95123

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95123

Therefore, the GCF of Fractions 1083/749,3622/889 is 1/95123

Least Common Multiple of 749,889 with GCF Formula

Least Common Multiple of 749,889 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 749,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,889) = 7

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

GCF(749,889) x common factors =7 x 1 = 7

LCM(749,889) = ( 749 × 889 ) / 7

LCM(749,889) = 665861 / 7

LCM(749,889) = 95123


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 1083/749, 3622/889

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 1083/749, 3622/889?

Answer: GCF of Numerators as per given numbers 1083/749, 3622/889 is

GCF of Numerators i.e. for 1083,3622 is 1

LCM of denominators i.e. for 749,889 is 95123.

Thus, GCF of Fractions is 1/95123.Finally, GCF of Fractions for 1083/749, 3622/889 is 1/95123.