Greatest Common Factor of 949/689, 5993/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 949/689, 5993/163

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 949/689,5993/163

Given fractions are 949/689,5993/163

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 949,5993

Greatest Common Factor of Numerators i.e. GCF of 949,5993 is 13 .

LCM of Denominators means LCM of 689,163 as per the given fractions.

LCM of 689,163 is 112307 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 949,5993

GCF of Fractions 949/689,5993/163 is 13/112307

13 949, 5993
73, 461

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 949,5993 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,5993 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 5993

List of positive integer factors of 5993 that divides 5993 without a remainder.

1,13,461,5993

Greatest Common Factor

We found the factors 949,5993 . The biggest common factor number is the GCF number.
So the greatest common factor 949,5993 is 13.

Lets's calculate LCM of 689,163

Given numbers has no common factors except 1. So, there LCM is their product i.e 112307

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/112307

Therefore, the GCF of Fractions 949/689,5993/163 is 13/112307

Least Common Multiple of 689,163 with GCF Formula

Least Common Multiple of 689,163 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 689,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,163) = 1

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

GCF(689,163) x common factors =1 x 1 = 1

LCM(689,163) = ( 689 × 163 ) / 1

LCM(689,163) = 112307 / 1

LCM(689,163) = 112307


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 949/689, 5993/163

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 949/689, 5993/163?

Answer: GCF of Numerators as per given numbers 949/689, 5993/163 is

GCF of Numerators i.e. for 949,5993 is 13

LCM of denominators i.e. for 689,163 is 112307.

Thus, GCF of Fractions is 13/112307.Finally, GCF of Fractions for 949/689, 5993/163 is 13/112307.