Greatest Common Factor of 542/76, 670/73, 160/69

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 542/76, 670/73, 160/69

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 542/76,670/73,160/69

Given fractions are 542/76,670/73,160/69

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 542,670,160

Greatest Common Factor of Numerators i.e. GCF of 542,670,160 is 2 .

LCM of Denominators means LCM of 76,73,69 as per the given fractions.

LCM of 76,73,69 is 382812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 542,670,160

GCF of Fractions 542/76,670/73,160/69 is 2/382812

2 542, 670, 160
271, 335, 80

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

Greatest Common Factor of 542,670,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,670,160 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 542,670,160 . The biggest common factor number is the GCF number.
So the greatest common factor 542,670,160 is 2.

Lets's calculate LCM of 76,73,69

Given numbers has no common factors except 1. So, there LCM is their product i.e 382812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/382812

Therefore, the GCF of Fractions 542/76,670/73,160/69 is 2/382812

Least Common Multiple of 76,73,69 with GCF Formula

Least Common Multiple of 76,73,69 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 76,73,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,73,69) = 1

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

GCF(76,73,69) x common factors =1 x 1 = 1

LCM(76,73,69) = ( 76 × 73 × 69 ) / 1

LCM(76,73,69) = 382812 / 1

LCM(76,73,69) = 382812


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 542/76, 670/73, 160/69

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 542/76, 670/73, 160/69?

Answer: GCF of Numerators as per given numbers 542/76, 670/73, 160/69 is

GCF of Numerators i.e. for 542,670,160 is 2

LCM of denominators i.e. for 76,73,69 is 382812.

Thus, GCF of Fractions is 2/382812.Finally, GCF of Fractions for 542/76, 670/73, 160/69 is 2/382812.