Greatest Common Factor of 366/53, 404/37, 875/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 366/53, 404/37, 875/89

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 366/53,404/37,875/89

Given fractions are 366/53,404/37,875/89

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 366,404,875

Greatest Common Factor of Numerators i.e. GCF of 366,404,875 is 1 .

LCM of Denominators means LCM of 53,37,89 as per the given fractions.

LCM of 53,37,89 is 174529 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 366,404,875

GCF of Fractions 366/53,404/37,875/89 is 1/174529

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

Greatest Common Factor of 366,404,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,404,875 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 366,404,875 . The biggest common factor number is the GCF number.
So the greatest common factor 366,404,875 is 1.

Lets's calculate LCM of 53,37,89

Given numbers has no common factors except 1. So, there LCM is their product i.e 174529

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174529

Therefore, the GCF of Fractions 366/53,404/37,875/89 is 1/174529

Least Common Multiple of 53,37,89 with GCF Formula

Least Common Multiple of 53,37,89 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 53,37,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,37,89) = 1

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

GCF(53,37,89) x common factors =1 x 1 = 1

LCM(53,37,89) = ( 53 × 37 × 89 ) / 1

LCM(53,37,89) = 174529 / 1

LCM(53,37,89) = 174529


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 366/53, 404/37, 875/89

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 366/53, 404/37, 875/89?

Answer: GCF of Numerators as per given numbers 366/53, 404/37, 875/89 is

GCF of Numerators i.e. for 366,404,875 is 1

LCM of denominators i.e. for 53,37,89 is 174529.

Thus, GCF of Fractions is 1/174529.Finally, GCF of Fractions for 366/53, 404/37, 875/89 is 1/174529.