Greatest Common Factor of 534/84, 356/11, 144/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 534/84, 356/11, 144/71

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 534/84,356/11,144/71

Given fractions are 534/84,356/11,144/71

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 534,356,144

Greatest Common Factor of Numerators i.e. GCF of 534,356,144 is 2 .

LCM of Denominators means LCM of 84,11,71 as per the given fractions.

LCM of 84,11,71 is 65604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 534,356,144

GCF of Fractions 534/84,356/11,144/71 is 2/65604

2 534, 356, 144
267, 178, 72

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

Greatest Common Factor of 534,356,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,356,144 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 534,356,144 . The biggest common factor number is the GCF number.
So the greatest common factor 534,356,144 is 2.

Lets's calculate LCM of 84,11,71

Given numbers has no common factors except 1. So, there LCM is their product i.e 65604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/65604

Therefore, the GCF of Fractions 534/84,356/11,144/71 is 2/65604

Least Common Multiple of 84,11,71 with GCF Formula

Least Common Multiple of 84,11,71 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 84,11,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,11,71) = 1

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

GCF(84,11,71) x common factors =1 x 1 = 1

LCM(84,11,71) = ( 84 × 11 × 71 ) / 1

LCM(84,11,71) = 65604 / 1

LCM(84,11,71) = 65604


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 534/84, 356/11, 144/71

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 534/84, 356/11, 144/71?

Answer: GCF of Numerators as per given numbers 534/84, 356/11, 144/71 is

GCF of Numerators i.e. for 534,356,144 is 2

LCM of denominators i.e. for 84,11,71 is 65604.

Thus, GCF of Fractions is 2/65604.Finally, GCF of Fractions for 534/84, 356/11, 144/71 is 2/65604.