Greatest Common Factor of 5748/67, 5534/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5748/67, 5534/590

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 5748/67,5534/590

Given fractions are 5748/67,5534/590

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 5748,5534

Greatest Common Factor of Numerators i.e. GCF of 5748,5534 is 2 .

LCM of Denominators means LCM of 67,590 as per the given fractions.

LCM of 67,590 is 39530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5748,5534

GCF of Fractions 5748/67,5534/590 is 2/39530

2 5748, 5534
2874, 2767

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5748,5534 By Matching Biggest Common Factor Method

Greatest Common Factor of 5748,5534 By Matching Biggest Common Factor Method

Factors of 5748

List of positive integer factors of 5748 that divides 5748 without a remainder.

1,2,3,4,6,12,479,958,1437,1916,2874,5748

Factors of 5534

List of positive integer factors of 5534 that divides 5534 without a remainder.

1,2,2767,5534

Greatest Common Factor

We found the factors 5748,5534 . The biggest common factor number is the GCF number.
So the greatest common factor 5748,5534 is 2.

Lets's calculate LCM of 67,590

Given numbers has no common factors except 1. So, there LCM is their product i.e 39530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39530

Therefore, the GCF of Fractions 5748/67,5534/590 is 2/39530

Least Common Multiple of 67,590 with GCF Formula

Least Common Multiple of 67,590 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 67,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,590) = 1

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

GCF(67,590) x common factors =1 x 1 = 1

LCM(67,590) = ( 67 × 590 ) / 1

LCM(67,590) = 39530 / 1

LCM(67,590) = 39530


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 5748/67, 5534/590

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 5748/67, 5534/590?

Answer: GCF of Numerators as per given numbers 5748/67, 5534/590 is

GCF of Numerators i.e. for 5748,5534 is 2

LCM of denominators i.e. for 67,590 is 39530.

Thus, GCF of Fractions is 2/39530.Finally, GCF of Fractions for 5748/67, 5534/590 is 2/39530.