Greatest Common Factor of 1516/550, 5893/6949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1516/550, 5893/6949

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 1516/550,5893/6949

Given fractions are 1516/550,5893/6949

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 1516,5893

Greatest Common Factor of Numerators i.e. GCF of 1516,5893 is 1 .

LCM of Denominators means LCM of 550,6949 as per the given fractions.

LCM of 550,6949 is 3821950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1516,5893

GCF of Fractions 1516/550,5893/6949 is 1/3821950

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

Greatest Common Factor of 1516,5893 By Matching Biggest Common Factor Method

Greatest Common Factor of 1516,5893 By Matching Biggest Common Factor Method

Factors of 1516

List of positive integer factors of 1516 that divides 1516 without a remainder.

1,2,4,379,758,1516

Factors of 5893

List of positive integer factors of 5893 that divides 5893 without a remainder.

1,71,83,5893

Greatest Common Factor

We found the factors 1516,5893 . The biggest common factor number is the GCF number.
So the greatest common factor 1516,5893 is 1.

Lets's calculate LCM of 550,6949

Given numbers has no common factors except 1. So, there LCM is their product i.e 3821950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3821950

Therefore, the GCF of Fractions 1516/550,5893/6949 is 1/3821950

Least Common Multiple of 550,6949 with GCF Formula

Least Common Multiple of 550,6949 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 550,6949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,6949) = 1

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

GCF(550,6949) x common factors =1 x 1 = 1

LCM(550,6949) = ( 550 × 6949 ) / 1

LCM(550,6949) = 3821950 / 1

LCM(550,6949) = 3821950


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 1516/550, 5893/6949

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 1516/550, 5893/6949?

Answer: GCF of Numerators as per given numbers 1516/550, 5893/6949 is

GCF of Numerators i.e. for 1516,5893 is 1

LCM of denominators i.e. for 550,6949 is 3821950.

Thus, GCF of Fractions is 1/3821950.Finally, GCF of Fractions for 1516/550, 5893/6949 is 1/3821950.