Greatest Common Factor of 3632/513, 1472/3884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3632/513, 1472/3884

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 3632/513,1472/3884

Given fractions are 3632/513,1472/3884

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 3632,1472

Greatest Common Factor of Numerators i.e. GCF of 3632,1472 is 16 .

LCM of Denominators means LCM of 513,3884 as per the given fractions.

LCM of 513,3884 is 1992492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3632,1472

GCF of Fractions 3632/513,1472/3884 is 16/1992492

2 3632, 1472
2 1816, 736
2 908, 368
2 454, 184
227, 92

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 3632,1472 By Matching Biggest Common Factor Method

Greatest Common Factor of 3632,1472 By Matching Biggest Common Factor Method

Factors of 3632

List of positive integer factors of 3632 that divides 3632 without a remainder.

1,2,4,8,16,227,454,908,1816,3632

Factors of 1472

List of positive integer factors of 1472 that divides 1472 without a remainder.

1,2,4,8,16,23,32,46,64,92,184,368,736,1472

Greatest Common Factor

We found the factors 3632,1472 . The biggest common factor number is the GCF number.
So the greatest common factor 3632,1472 is 16.

Lets's calculate LCM of 513,3884

Given numbers has no common factors except 1. So, there LCM is their product i.e 1992492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1992492

Therefore, the GCF of Fractions 3632/513,1472/3884 is 16/1992492

Least Common Multiple of 513,3884 with GCF Formula

Least Common Multiple of 513,3884 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 513,3884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,3884) = 1

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

GCF(513,3884) x common factors =1 x 1 = 1

LCM(513,3884) = ( 513 × 3884 ) / 1

LCM(513,3884) = 1992492 / 1

LCM(513,3884) = 1992492


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3632/513, 1472/3884

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 3632/513, 1472/3884?

Answer: GCF of Numerators as per given numbers 3632/513, 1472/3884 is

GCF of Numerators i.e. for 3632,1472 is 16

LCM of denominators i.e. for 513,3884 is 1992492.

Thus, GCF of Fractions is 16/1992492.Finally, GCF of Fractions for 3632/513, 1472/3884 is 16/1992492.