Greatest Common Factor of 851/250, 460/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 851/250, 460/100

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 851/250,460/100

Given fractions are 851/250,460/100

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 851,460

Greatest Common Factor of Numerators i.e. GCF of 851,460 is 23 .

LCM of Denominators means LCM of 250,100 as per the given fractions.

LCM of 250,100 is 500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 851,460

GCF of Fractions 851/250,460/100 is 23/500

23 851, 460
37, 20

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 851,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,460 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 851,460 . The biggest common factor number is the GCF number.
So the greatest common factor 851,460 is 23.

Lets's calculate LCM of 250,100

2 250, 100
5 125, 50
5 25, 10
5, 2

∴ So the LCM of the given numbers is 2 x 5 x 5 x 5 x 2 = 500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/500

Therefore, the GCF of Fractions 851/250,460/100 is 23/500

Least Common Multiple of 250,100 with GCF Formula

Least Common Multiple of 250,100 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 250,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,100) = 50

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

GCF(250,100) x common factors =50 x 1 = 50

LCM(250,100) = ( 250 × 100 ) / 50

LCM(250,100) = 25000 / 50

LCM(250,100) = 500


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 851/250, 460/100

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 851/250, 460/100?

Answer: GCF of Numerators as per given numbers 851/250, 460/100 is

GCF of Numerators i.e. for 851,460 is 23

LCM of denominators i.e. for 250,100 is 500.

Thus, GCF of Fractions is 23/500.Finally, GCF of Fractions for 851/250, 460/100 is 23/500.