Greatest Common Factor of 850/2100, 631/9750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 850/2100, 631/9750

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 850/2100,631/9750

Given fractions are 850/2100,631/9750

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 850,631

Greatest Common Factor of Numerators i.e. GCF of 850,631 is 1 .

LCM of Denominators means LCM of 2100,9750 as per the given fractions.

LCM of 2100,9750 is 136500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 850,631

GCF of Fractions 850/2100,631/9750 is 1/136500

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

Greatest Common Factor of 850,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,631 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 850,631 . The biggest common factor number is the GCF number.
So the greatest common factor 850,631 is 1.

Lets's calculate LCM of 2100,9750

2 2100, 9750
3 1050, 4875
5 350, 1625
5 70, 325
14, 65

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 14 x 65 = 136500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136500

Therefore, the GCF of Fractions 850/2100,631/9750 is 1/136500

Least Common Multiple of 2100,9750 with GCF Formula

Least Common Multiple of 2100,9750 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 2100,9750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2100,9750) = 150

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

GCF(2100,9750) x common factors =150 x 1 = 150

LCM(2100,9750) = ( 2100 × 9750 ) / 150

LCM(2100,9750) = 20475000 / 150

LCM(2100,9750) = 136500


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 850/2100, 631/9750

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 850/2100, 631/9750?

Answer: GCF of Numerators as per given numbers 850/2100, 631/9750 is

GCF of Numerators i.e. for 850,631 is 1

LCM of denominators i.e. for 2100,9750 is 136500.

Thus, GCF of Fractions is 1/136500.Finally, GCF of Fractions for 850/2100, 631/9750 is 1/136500.