Greatest Common Factor of 4/67, 58/75, 66/164, 941/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/67, 58/75, 66/164, 941/369

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 4/67,58/75,66/164,941/369

Given fractions are 4/67,58/75,66/164,941/369

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 4,58,66,941

Greatest Common Factor of Numerators i.e. GCF of 4,58,66,941 is 1 .

LCM of Denominators means LCM of 67,75,164,369 as per the given fractions.

LCM of 67,75,164,369 is 2472300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,58,66,941

GCF of Fractions 4/67,58/75,66/164,941/369 is 1/2472300

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

Greatest Common Factor of 4,58,66,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,58,66,941 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 4,58,66,941 . The biggest common factor number is the GCF number.
So the greatest common factor 4,58,66,941 is 1.

Lets's calculate LCM of 67,75,164,369

3 67, 75, 164, 369
41 67, 25, 164, 123
67, 25, 4, 3

∴ So the LCM of the given numbers is 3 x 41 x 67 x 25 x 4 x 3 = 2472300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2472300

Therefore, the GCF of Fractions 4/67,58/75,66/164,941/369 is 1/2472300

Least Common Multiple of 67,75,164,369 with GCF Formula

Least Common Multiple of 67,75,164,369 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 67,75,164,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,75,164,369) = 1

common factors(in case of two or more numbers have common factors) = 123

GCF(67,75,164,369) x common factors =1 x 123 = 123

LCM(67,75,164,369) = ( 67 × 75 × 164 × 369 ) / 123

LCM(67,75,164,369) = 304092900 / 123

LCM(67,75,164,369) = 2472300


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 4/67, 58/75, 66/164, 941/369

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 4/67, 58/75, 66/164, 941/369?

Answer: GCF of Numerators as per given numbers 4/67, 58/75, 66/164, 941/369 is

GCF of Numerators i.e. for 4,58,66,941 is 1

LCM of denominators i.e. for 67,75,164,369 is 2472300.

Thus, GCF of Fractions is 1/2472300.Finally, GCF of Fractions for 4/67, 58/75, 66/164, 941/369 is 1/2472300.