Greatest Common Factor of 402/1551, 468/3645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 402/1551, 468/3645

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 402/1551,468/3645

Given fractions are 402/1551,468/3645

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 402,468

Greatest Common Factor of Numerators i.e. GCF of 402,468 is 6 .

LCM of Denominators means LCM of 1551,3645 as per the given fractions.

LCM of 1551,3645 is 1884465 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 402,468

GCF of Fractions 402/1551,468/3645 is 6/1884465

2 402, 468
3 201, 234
67, 78

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 402,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,468 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 402,468 . The biggest common factor number is the GCF number.
So the greatest common factor 402,468 is 6.

Lets's calculate LCM of 1551,3645

3 1551, 3645
517, 1215

∴ So the LCM of the given numbers is 3 x 517 x 1215 = 1884465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1884465

Therefore, the GCF of Fractions 402/1551,468/3645 is 6/1884465

Least Common Multiple of 1551,3645 with GCF Formula

Least Common Multiple of 1551,3645 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 1551,3645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1551,3645) = 3

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

GCF(1551,3645) x common factors =3 x 1 = 3

LCM(1551,3645) = ( 1551 × 3645 ) / 3

LCM(1551,3645) = 5653395 / 3

LCM(1551,3645) = 1884465


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 402/1551, 468/3645

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 402/1551, 468/3645?

Answer: GCF of Numerators as per given numbers 402/1551, 468/3645 is

GCF of Numerators i.e. for 402,468 is 6

LCM of denominators i.e. for 1551,3645 is 1884465.

Thus, GCF of Fractions is 6/1884465.Finally, GCF of Fractions for 402/1551, 468/3645 is 6/1884465.