Greatest Common Factor of 437/67, 197/60, 942/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 437/67, 197/60, 942/541

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 437/67,197/60,942/541

Given fractions are 437/67,197/60,942/541

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 437,197,942

Greatest Common Factor of Numerators i.e. GCF of 437,197,942 is 1 .

LCM of Denominators means LCM of 67,60,541 as per the given fractions.

LCM of 67,60,541 is 2174820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 437,197,942

GCF of Fractions 437/67,197/60,942/541 is 1/2174820

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

Greatest Common Factor of 437,197,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,197,942 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 437,197,942 . The biggest common factor number is the GCF number.
So the greatest common factor 437,197,942 is 1.

Lets's calculate LCM of 67,60,541

Given numbers has no common factors except 1. So, there LCM is their product i.e 2174820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2174820

Therefore, the GCF of Fractions 437/67,197/60,942/541 is 1/2174820

Least Common Multiple of 67,60,541 with GCF Formula

Least Common Multiple of 67,60,541 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 67,60,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,60,541) = 1

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

GCF(67,60,541) x common factors =1 x 1 = 1

LCM(67,60,541) = ( 67 × 60 × 541 ) / 1

LCM(67,60,541) = 2174820 / 1

LCM(67,60,541) = 2174820


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 437/67, 197/60, 942/541

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 437/67, 197/60, 942/541?

Answer: GCF of Numerators as per given numbers 437/67, 197/60, 942/541 is

GCF of Numerators i.e. for 437,197,942 is 1

LCM of denominators i.e. for 67,60,541 is 2174820.

Thus, GCF of Fractions is 1/2174820.Finally, GCF of Fractions for 437/67, 197/60, 942/541 is 1/2174820.