Greatest Common Factor of 533/68, 105/52, 739/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 533/68, 105/52, 739/139

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 533/68,105/52,739/139

Given fractions are 533/68,105/52,739/139

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 533,105,739

Greatest Common Factor of Numerators i.e. GCF of 533,105,739 is 1 .

LCM of Denominators means LCM of 68,52,139 as per the given fractions.

LCM of 68,52,139 is 122876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 533,105,739

GCF of Fractions 533/68,105/52,739/139 is 1/122876

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

Greatest Common Factor of 533,105,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,105,739 By Matching Biggest Common Factor Method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 533,105,739 . The biggest common factor number is the GCF number.
So the greatest common factor 533,105,739 is 1.

Lets's calculate LCM of 68,52,139

2 68, 52, 139
2 34, 26, 139
17, 13, 139

∴ So the LCM of the given numbers is 2 x 2 x 17 x 13 x 139 = 122876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122876

Therefore, the GCF of Fractions 533/68,105/52,739/139 is 1/122876

Least Common Multiple of 68,52,139 with GCF Formula

Least Common Multiple of 68,52,139 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 68,52,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,52,139) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,52,139) x common factors =1 x 4 = 4

LCM(68,52,139) = ( 68 × 52 × 139 ) / 4

LCM(68,52,139) = 491504 / 4

LCM(68,52,139) = 122876


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 533/68, 105/52, 739/139

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 533/68, 105/52, 739/139?

Answer: GCF of Numerators as per given numbers 533/68, 105/52, 739/139 is

GCF of Numerators i.e. for 533,105,739 is 1

LCM of denominators i.e. for 68,52,139 is 122876.

Thus, GCF of Fractions is 1/122876.Finally, GCF of Fractions for 533/68, 105/52, 739/139 is 1/122876.