Greatest Common Factor of 3663/140, 5225/1064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3663/140, 5225/1064

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 3663/140,5225/1064

Given fractions are 3663/140,5225/1064

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 3663,5225

Greatest Common Factor of Numerators i.e. GCF of 3663,5225 is 11 .

LCM of Denominators means LCM of 140,1064 as per the given fractions.

LCM of 140,1064 is 5320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3663,5225

GCF of Fractions 3663/140,5225/1064 is 11/5320

11 3663, 5225
333, 475

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 3663,5225 By Matching Biggest Common Factor Method

Greatest Common Factor of 3663,5225 By Matching Biggest Common Factor Method

Factors of 3663

List of positive integer factors of 3663 that divides 3663 without a remainder.

1,3,9,11,33,37,99,111,333,407,1221,3663

Factors of 5225

List of positive integer factors of 5225 that divides 5225 without a remainder.

1,5,11,19,25,55,95,209,275,475,1045,5225

Greatest Common Factor

We found the factors 3663,5225 . The biggest common factor number is the GCF number.
So the greatest common factor 3663,5225 is 11.

Lets's calculate LCM of 140,1064

2 140, 1064
2 70, 532
7 35, 266
5, 38

∴ So the LCM of the given numbers is 2 x 2 x 7 x 5 x 38 = 5320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/5320

Therefore, the GCF of Fractions 3663/140,5225/1064 is 11/5320

Least Common Multiple of 140,1064 with GCF Formula

Least Common Multiple of 140,1064 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 140,1064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,1064) = 28

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

GCF(140,1064) x common factors =28 x 1 = 28

LCM(140,1064) = ( 140 × 1064 ) / 28

LCM(140,1064) = 148960 / 28

LCM(140,1064) = 5320


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 3663/140, 5225/1064

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 3663/140, 5225/1064?

Answer: GCF of Numerators as per given numbers 3663/140, 5225/1064 is

GCF of Numerators i.e. for 3663,5225 is 11

LCM of denominators i.e. for 140,1064 is 5320.

Thus, GCF of Fractions is 11/5320.Finally, GCF of Fractions for 3663/140, 5225/1064 is 11/5320.