Greatest Common Factor of 8769/257, 7750/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8769/257, 7750/837

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 8769/257,7750/837

Given fractions are 8769/257,7750/837

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 8769,7750

Greatest Common Factor of Numerators i.e. GCF of 8769,7750 is 1 .

LCM of Denominators means LCM of 257,837 as per the given fractions.

LCM of 257,837 is 215109 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8769,7750

GCF of Fractions 8769/257,7750/837 is 1/215109

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

Greatest Common Factor of 8769,7750 By Matching Biggest Common Factor Method

Greatest Common Factor of 8769,7750 By Matching Biggest Common Factor Method

Factors of 8769

List of positive integer factors of 8769 that divides 8769 without a remainder.

1,3,37,79,111,237,2923,8769

Factors of 7750

List of positive integer factors of 7750 that divides 7750 without a remainder.

1,2,5,10,25,31,50,62,125,155,250,310,775,1550,3875,7750

Greatest Common Factor

We found the factors 8769,7750 . The biggest common factor number is the GCF number.
So the greatest common factor 8769,7750 is 1.

Lets's calculate LCM of 257,837

Given numbers has no common factors except 1. So, there LCM is their product i.e 215109

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215109

Therefore, the GCF of Fractions 8769/257,7750/837 is 1/215109

Least Common Multiple of 257,837 with GCF Formula

Least Common Multiple of 257,837 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 257,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,837) = 1

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

GCF(257,837) x common factors =1 x 1 = 1

LCM(257,837) = ( 257 × 837 ) / 1

LCM(257,837) = 215109 / 1

LCM(257,837) = 215109


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 8769/257, 7750/837

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 8769/257, 7750/837?

Answer: GCF of Numerators as per given numbers 8769/257, 7750/837 is

GCF of Numerators i.e. for 8769,7750 is 1

LCM of denominators i.e. for 257,837 is 215109.

Thus, GCF of Fractions is 1/215109.Finally, GCF of Fractions for 8769/257, 7750/837 is 1/215109.