Greatest Common Factor of 5217/60, 5011/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5217/60, 5011/574

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 5217/60,5011/574

Given fractions are 5217/60,5011/574

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 5217,5011

Greatest Common Factor of Numerators i.e. GCF of 5217,5011 is 1 .

LCM of Denominators means LCM of 60,574 as per the given fractions.

LCM of 60,574 is 17220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5217,5011

GCF of Fractions 5217/60,5011/574 is 1/17220

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

Greatest Common Factor of 5217,5011 By Matching Biggest Common Factor Method

Greatest Common Factor of 5217,5011 By Matching Biggest Common Factor Method

Factors of 5217

List of positive integer factors of 5217 that divides 5217 without a remainder.

1,3,37,47,111,141,1739,5217

Factors of 5011

List of positive integer factors of 5011 that divides 5011 without a remainder.

1,5011

Greatest Common Factor

We found the factors 5217,5011 . The biggest common factor number is the GCF number.
So the greatest common factor 5217,5011 is 1.

Lets's calculate LCM of 60,574

2 60, 574
30, 287

∴ So the LCM of the given numbers is 2 x 30 x 287 = 17220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17220

Therefore, the GCF of Fractions 5217/60,5011/574 is 1/17220

Least Common Multiple of 60,574 with GCF Formula

Least Common Multiple of 60,574 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 60,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,574) = 2

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

GCF(60,574) x common factors =2 x 1 = 2

LCM(60,574) = ( 60 × 574 ) / 2

LCM(60,574) = 34440 / 2

LCM(60,574) = 17220


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 5217/60, 5011/574

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 5217/60, 5011/574?

Answer: GCF of Numerators as per given numbers 5217/60, 5011/574 is

GCF of Numerators i.e. for 5217,5011 is 1

LCM of denominators i.e. for 60,574 is 17220.

Thus, GCF of Fractions is 1/17220.Finally, GCF of Fractions for 5217/60, 5011/574 is 1/17220.