Greatest Common Factor of 9749/27, 6887/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9749/27, 6887/595

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 9749/27,6887/595

Given fractions are 9749/27,6887/595

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 9749,6887

Greatest Common Factor of Numerators i.e. GCF of 9749,6887 is 1 .

LCM of Denominators means LCM of 27,595 as per the given fractions.

LCM of 27,595 is 16065 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9749,6887

GCF of Fractions 9749/27,6887/595 is 1/16065

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

Greatest Common Factor of 9749,6887 By Matching Biggest Common Factor Method

Greatest Common Factor of 9749,6887 By Matching Biggest Common Factor Method

Factors of 9749

List of positive integer factors of 9749 that divides 9749 without a remainder.

1,9749

Factors of 6887

List of positive integer factors of 6887 that divides 6887 without a remainder.

1,71,97,6887

Greatest Common Factor

We found the factors 9749,6887 . The biggest common factor number is the GCF number.
So the greatest common factor 9749,6887 is 1.

Lets's calculate LCM of 27,595

Given numbers has no common factors except 1. So, there LCM is their product i.e 16065

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16065

Therefore, the GCF of Fractions 9749/27,6887/595 is 1/16065

Least Common Multiple of 27,595 with GCF Formula

Least Common Multiple of 27,595 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 27,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,595) = 1

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

GCF(27,595) x common factors =1 x 1 = 1

LCM(27,595) = ( 27 × 595 ) / 1

LCM(27,595) = 16065 / 1

LCM(27,595) = 16065


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 9749/27, 6887/595

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 9749/27, 6887/595?

Answer: GCF of Numerators as per given numbers 9749/27, 6887/595 is

GCF of Numerators i.e. for 9749,6887 is 1

LCM of denominators i.e. for 27,595 is 16065.

Thus, GCF of Fractions is 1/16065.Finally, GCF of Fractions for 9749/27, 6887/595 is 1/16065.