Greatest Common Factor of 275/51, 517/6049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 275/51, 517/6049

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 275/51,517/6049

Given fractions are 275/51,517/6049

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 275,517

Greatest Common Factor of Numerators i.e. GCF of 275,517 is 11 .

LCM of Denominators means LCM of 51,6049 as per the given fractions.

LCM of 51,6049 is 308499 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 275,517

GCF of Fractions 275/51,517/6049 is 11/308499

11 275, 517
25, 47

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 275,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 275,517 By Matching Biggest Common Factor Method

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 275,517 . The biggest common factor number is the GCF number.
So the greatest common factor 275,517 is 11.

Lets's calculate LCM of 51,6049

Given numbers has no common factors except 1. So, there LCM is their product i.e 308499

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/308499

Therefore, the GCF of Fractions 275/51,517/6049 is 11/308499

Least Common Multiple of 51,6049 with GCF Formula

Least Common Multiple of 51,6049 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 51,6049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,6049) = 1

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

GCF(51,6049) x common factors =1 x 1 = 1

LCM(51,6049) = ( 51 × 6049 ) / 1

LCM(51,6049) = 308499 / 1

LCM(51,6049) = 308499


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 275/51, 517/6049

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 275/51, 517/6049?

Answer: GCF of Numerators as per given numbers 275/51, 517/6049 is

GCF of Numerators i.e. for 275,517 is 11

LCM of denominators i.e. for 51,6049 is 308499.

Thus, GCF of Fractions is 11/308499.Finally, GCF of Fractions for 275/51, 517/6049 is 11/308499.