Greatest Common Factor of 667/67, 375/54, 739/43

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 667/67, 375/54, 739/43

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 667/67,375/54,739/43

Given fractions are 667/67,375/54,739/43

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 667,375,739

Greatest Common Factor of Numerators i.e. GCF of 667,375,739 is 1 .

LCM of Denominators means LCM of 67,54,43 as per the given fractions.

LCM of 67,54,43 is 155574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 667,375,739

GCF of Fractions 667/67,375/54,739/43 is 1/155574

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

Greatest Common Factor of 667,375,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,375,739 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

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 667,375,739 . The biggest common factor number is the GCF number.
So the greatest common factor 667,375,739 is 1.

Lets's calculate LCM of 67,54,43

Given numbers has no common factors except 1. So, there LCM is their product i.e 155574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155574

Therefore, the GCF of Fractions 667/67,375/54,739/43 is 1/155574

Least Common Multiple of 67,54,43 with GCF Formula

Least Common Multiple of 67,54,43 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 67,54,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,54,43) = 1

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

GCF(67,54,43) x common factors =1 x 1 = 1

LCM(67,54,43) = ( 67 × 54 × 43 ) / 1

LCM(67,54,43) = 155574 / 1

LCM(67,54,43) = 155574


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 667/67, 375/54, 739/43

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 667/67, 375/54, 739/43?

Answer: GCF of Numerators as per given numbers 667/67, 375/54, 739/43 is

GCF of Numerators i.e. for 667,375,739 is 1

LCM of denominators i.e. for 67,54,43 is 155574.

Thus, GCF of Fractions is 1/155574.Finally, GCF of Fractions for 667/67, 375/54, 739/43 is 1/155574.