Greatest Common Factor of 86/353, 875/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 86/353, 875/100

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 86/353,875/100

Given fractions are 86/353,875/100

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 86,875

Greatest Common Factor of Numerators i.e. GCF of 86,875 is 1 .

LCM of Denominators means LCM of 353,100 as per the given fractions.

LCM of 353,100 is 35300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,875

GCF of Fractions 86/353,875/100 is 1/35300

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

Greatest Common Factor of 86,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,875 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 86,875 . The biggest common factor number is the GCF number.
So the greatest common factor 86,875 is 1.

Lets's calculate LCM of 353,100

Given numbers has no common factors except 1. So, there LCM is their product i.e 35300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35300

Therefore, the GCF of Fractions 86/353,875/100 is 1/35300

Least Common Multiple of 353,100 with GCF Formula

Least Common Multiple of 353,100 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 353,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,100) = 1

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

GCF(353,100) x common factors =1 x 1 = 1

LCM(353,100) = ( 353 × 100 ) / 1

LCM(353,100) = 35300 / 1

LCM(353,100) = 35300


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 86/353, 875/100

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 86/353, 875/100?

Answer: GCF of Numerators as per given numbers 86/353, 875/100 is

GCF of Numerators i.e. for 86,875 is 1

LCM of denominators i.e. for 353,100 is 35300.

Thus, GCF of Fractions is 1/35300.Finally, GCF of Fractions for 86/353, 875/100 is 1/35300.