Greatest Common Factor of 7032/91, 1637/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7032/91, 1637/649

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 7032/91,1637/649

Given fractions are 7032/91,1637/649

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 7032,1637

Greatest Common Factor of Numerators i.e. GCF of 7032,1637 is 1 .

LCM of Denominators means LCM of 91,649 as per the given fractions.

LCM of 91,649 is 59059 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7032,1637

GCF of Fractions 7032/91,1637/649 is 1/59059

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

Greatest Common Factor of 7032,1637 By Matching Biggest Common Factor Method

Greatest Common Factor of 7032,1637 By Matching Biggest Common Factor Method

Factors of 7032

List of positive integer factors of 7032 that divides 7032 without a remainder.

1,2,3,4,6,8,12,24,293,586,879,1172,1758,2344,3516,7032

Factors of 1637

List of positive integer factors of 1637 that divides 1637 without a remainder.

1,1637

Greatest Common Factor

We found the factors 7032,1637 . The biggest common factor number is the GCF number.
So the greatest common factor 7032,1637 is 1.

Lets's calculate LCM of 91,649

Given numbers has no common factors except 1. So, there LCM is their product i.e 59059

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59059

Therefore, the GCF of Fractions 7032/91,1637/649 is 1/59059

Least Common Multiple of 91,649 with GCF Formula

Least Common Multiple of 91,649 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 91,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,649) = 1

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

GCF(91,649) x common factors =1 x 1 = 1

LCM(91,649) = ( 91 × 649 ) / 1

LCM(91,649) = 59059 / 1

LCM(91,649) = 59059


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 7032/91, 1637/649

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 7032/91, 1637/649?

Answer: GCF of Numerators as per given numbers 7032/91, 1637/649 is

GCF of Numerators i.e. for 7032,1637 is 1

LCM of denominators i.e. for 91,649 is 59059.

Thus, GCF of Fractions is 1/59059.Finally, GCF of Fractions for 7032/91, 1637/649 is 1/59059.