Greatest Common Factor of 252/401, 3045/2452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 252/401, 3045/2452

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 252/401,3045/2452

Given fractions are 252/401,3045/2452

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 252,3045

Greatest Common Factor of Numerators i.e. GCF of 252,3045 is 21 .

LCM of Denominators means LCM of 401,2452 as per the given fractions.

LCM of 401,2452 is 983252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 252,3045

GCF of Fractions 252/401,3045/2452 is 21/983252

3 252, 3045
7 84, 1015
12, 145

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 252,3045 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,3045 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 3045

List of positive integer factors of 3045 that divides 3045 without a remainder.

1,3,5,7,15,21,29,35,87,105,145,203,435,609,1015,3045

Greatest Common Factor

We found the factors 252,3045 . The biggest common factor number is the GCF number.
So the greatest common factor 252,3045 is 21.


Lets's calculate LCM of 401,2452

Given numbers has no common factors except 1. So, there LCM is their product i.e 983252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/983252

Therefore, the GCF of Fractions 252/401,3045/2452 is 21/983252

Least Common Multiple of 401,2452 with GCF Formula

Least Common Multiple of 401,2452 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 401,2452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,2452) = 1

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

GCF(401,2452) x common factors =1 x 1 = 1

LCM(401,2452) = ( 401 × 2452 ) / 1

LCM(401,2452) = 983252 / 1

LCM(401,2452) = 983252


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 252/401, 3045/2452

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 252/401, 3045/2452?

Answer: GCF of Numerators as per given numbers 252/401, 3045/2452 is

GCF of Numerators i.e. for 252,3045 is 21

LCM of denominators i.e. for 401,2452 is 983252.

Thus, GCF of Fractions is 21/983252.Finally, GCF of Fractions for 252/401, 3045/2452 is 21/983252.