Greatest Common Factor of 202/29, 352/45, 601/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 202/29, 352/45, 601/408

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 202/29,352/45,601/408

Given fractions are 202/29,352/45,601/408

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 202,352,601

Greatest Common Factor of Numerators i.e. GCF of 202,352,601 is 1 .

LCM of Denominators means LCM of 29,45,408 as per the given fractions.

LCM of 29,45,408 is 177480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 202,352,601

GCF of Fractions 202/29,352/45,601/408 is 1/177480

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

Greatest Common Factor of 202,352,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,352,601 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Greatest Common Factor

We found the factors 202,352,601 . The biggest common factor number is the GCF number.
So the greatest common factor 202,352,601 is 1.

Lets's calculate LCM of 29,45,408

3 29, 45, 408
29, 15, 136

∴ So the LCM of the given numbers is 3 x 29 x 15 x 136 = 177480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177480

Therefore, the GCF of Fractions 202/29,352/45,601/408 is 1/177480

Least Common Multiple of 29,45,408 with GCF Formula

Least Common Multiple of 29,45,408 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 29,45,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,45,408) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(29,45,408) x common factors =1 x 3 = 3

LCM(29,45,408) = ( 29 × 45 × 408 ) / 3

LCM(29,45,408) = 532440 / 3

LCM(29,45,408) = 177480


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 202/29, 352/45, 601/408

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 202/29, 352/45, 601/408?

Answer: GCF of Numerators as per given numbers 202/29, 352/45, 601/408 is

GCF of Numerators i.e. for 202,352,601 is 1

LCM of denominators i.e. for 29,45,408 is 177480.

Thus, GCF of Fractions is 1/177480.Finally, GCF of Fractions for 202/29, 352/45, 601/408 is 1/177480.