Greatest Common Factor of 5709/859, 9958/6342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5709/859, 9958/6342

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 5709/859,9958/6342

Given fractions are 5709/859,9958/6342

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 5709,9958

Greatest Common Factor of Numerators i.e. GCF of 5709,9958 is 1 .

LCM of Denominators means LCM of 859,6342 as per the given fractions.

LCM of 859,6342 is 5447778 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5709,9958

GCF of Fractions 5709/859,9958/6342 is 1/5447778

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

Greatest Common Factor of 5709,9958 By Matching Biggest Common Factor Method

Greatest Common Factor of 5709,9958 By Matching Biggest Common Factor Method

Factors of 5709

List of positive integer factors of 5709 that divides 5709 without a remainder.

1,3,11,33,173,519,1903,5709

Factors of 9958

List of positive integer factors of 9958 that divides 9958 without a remainder.

1,2,13,26,383,766,4979,9958

Greatest Common Factor

We found the factors 5709,9958 . The biggest common factor number is the GCF number.
So the greatest common factor 5709,9958 is 1.

Lets's calculate LCM of 859,6342

Given numbers has no common factors except 1. So, there LCM is their product i.e 5447778

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5447778

Therefore, the GCF of Fractions 5709/859,9958/6342 is 1/5447778

Least Common Multiple of 859,6342 with GCF Formula

Least Common Multiple of 859,6342 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 859,6342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,6342) = 1

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

GCF(859,6342) x common factors =1 x 1 = 1

LCM(859,6342) = ( 859 × 6342 ) / 1

LCM(859,6342) = 5447778 / 1

LCM(859,6342) = 5447778


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 5709/859, 9958/6342

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 5709/859, 9958/6342?

Answer: GCF of Numerators as per given numbers 5709/859, 9958/6342 is

GCF of Numerators i.e. for 5709,9958 is 1

LCM of denominators i.e. for 859,6342 is 5447778.

Thus, GCF of Fractions is 1/5447778.Finally, GCF of Fractions for 5709/859, 9958/6342 is 1/5447778.