Greatest Common Factor of 8750/839, 8350/5759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8750/839, 8350/5759

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 8750/839,8350/5759

Given fractions are 8750/839,8350/5759

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 8750,8350

Greatest Common Factor of Numerators i.e. GCF of 8750,8350 is 50 .

LCM of Denominators means LCM of 839,5759 as per the given fractions.

LCM of 839,5759 is 4831801 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8750,8350

GCF of Fractions 8750/839,8350/5759 is 50/4831801

2 8750, 8350
5 4375, 4175
5 875, 835
175, 167

∴ So the GCF of the given numbers is 2 x 5 x 5 = 50

Greatest Common Factor of 8750,8350 By Matching Biggest Common Factor Method

Greatest Common Factor of 8750,8350 By Matching Biggest Common Factor Method

Factors of 8750

List of positive integer factors of 8750 that divides 8750 without a remainder.

1,2,5,7,10,14,25,35,50,70,125,175,250,350,625,875,1250,1750,4375,8750

Factors of 8350

List of positive integer factors of 8350 that divides 8350 without a remainder.

1,2,5,10,25,50,167,334,835,1670,4175,8350

Greatest Common Factor

We found the factors 8750,8350 . The biggest common factor number is the GCF number.
So the greatest common factor 8750,8350 is 50.

Lets's calculate LCM of 839,5759

Given numbers has no common factors except 1. So, there LCM is their product i.e 4831801

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/4831801

Therefore, the GCF of Fractions 8750/839,8350/5759 is 50/4831801

Least Common Multiple of 839,5759 with GCF Formula

Least Common Multiple of 839,5759 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 839,5759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,5759) = 1

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

GCF(839,5759) x common factors =1 x 1 = 1

LCM(839,5759) = ( 839 × 5759 ) / 1

LCM(839,5759) = 4831801 / 1

LCM(839,5759) = 4831801


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 8750/839, 8350/5759

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 8750/839, 8350/5759?

Answer: GCF of Numerators as per given numbers 8750/839, 8350/5759 is

GCF of Numerators i.e. for 8750,8350 is 50

LCM of denominators i.e. for 839,5759 is 4831801.

Thus, GCF of Fractions is 50/4831801.Finally, GCF of Fractions for 8750/839, 8350/5759 is 50/4831801.