Greatest Common Factor of 1751/250, 3111/3163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1751/250, 3111/3163

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 1751/250,3111/3163

Given fractions are 1751/250,3111/3163

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 1751,3111

Greatest Common Factor of Numerators i.e. GCF of 1751,3111 is 17 .

LCM of Denominators means LCM of 250,3163 as per the given fractions.

LCM of 250,3163 is 790750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1751,3111

GCF of Fractions 1751/250,3111/3163 is 17/790750

17 1751, 3111
103, 183

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 1751,3111 By Matching Biggest Common Factor Method

Greatest Common Factor of 1751,3111 By Matching Biggest Common Factor Method

Factors of 1751

List of positive integer factors of 1751 that divides 1751 without a remainder.

1,17,103,1751

Factors of 3111

List of positive integer factors of 3111 that divides 3111 without a remainder.

1,3,17,51,61,183,1037,3111

Greatest Common Factor

We found the factors 1751,3111 . The biggest common factor number is the GCF number.
So the greatest common factor 1751,3111 is 17.

Lets's calculate LCM of 250,3163

Given numbers has no common factors except 1. So, there LCM is their product i.e 790750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/790750

Therefore, the GCF of Fractions 1751/250,3111/3163 is 17/790750

Least Common Multiple of 250,3163 with GCF Formula

Least Common Multiple of 250,3163 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 250,3163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,3163) = 1

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

GCF(250,3163) x common factors =1 x 1 = 1

LCM(250,3163) = ( 250 × 3163 ) / 1

LCM(250,3163) = 790750 / 1

LCM(250,3163) = 790750


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 1751/250, 3111/3163

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 1751/250, 3111/3163?

Answer: GCF of Numerators as per given numbers 1751/250, 3111/3163 is

GCF of Numerators i.e. for 1751,3111 is 17

LCM of denominators i.e. for 250,3163 is 790750.

Thus, GCF of Fractions is 17/790750.Finally, GCF of Fractions for 1751/250, 3111/3163 is 17/790750.