Greatest Common Factor of 3699/732, 3728/1080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3699/732, 3728/1080

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 3699/732,3728/1080

Given fractions are 3699/732,3728/1080

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 3699,3728

Greatest Common Factor of Numerators i.e. GCF of 3699,3728 is 1 .

LCM of Denominators means LCM of 732,1080 as per the given fractions.

LCM of 732,1080 is 65880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3699,3728

GCF of Fractions 3699/732,3728/1080 is 1/65880

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

Greatest Common Factor of 3699,3728 By Matching Biggest Common Factor Method

Greatest Common Factor of 3699,3728 By Matching Biggest Common Factor Method

Factors of 3699

List of positive integer factors of 3699 that divides 3699 without a remainder.

1,3,9,27,137,411,1233,3699

Factors of 3728

List of positive integer factors of 3728 that divides 3728 without a remainder.

1,2,4,8,16,233,466,932,1864,3728

Greatest Common Factor

We found the factors 3699,3728 . The biggest common factor number is the GCF number.
So the greatest common factor 3699,3728 is 1.

Lets's calculate LCM of 732,1080

2 732, 1080
2 366, 540
3 183, 270
61, 90

∴ So the LCM of the given numbers is 2 x 2 x 3 x 61 x 90 = 65880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65880

Therefore, the GCF of Fractions 3699/732,3728/1080 is 1/65880

Least Common Multiple of 732,1080 with GCF Formula

Least Common Multiple of 732,1080 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 732,1080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,1080) = 12

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

GCF(732,1080) x common factors =12 x 1 = 12

LCM(732,1080) = ( 732 × 1080 ) / 12

LCM(732,1080) = 790560 / 12

LCM(732,1080) = 65880


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 3699/732, 3728/1080

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 3699/732, 3728/1080?

Answer: GCF of Numerators as per given numbers 3699/732, 3728/1080 is

GCF of Numerators i.e. for 3699,3728 is 1

LCM of denominators i.e. for 732,1080 is 65880.

Thus, GCF of Fractions is 1/65880.Finally, GCF of Fractions for 3699/732, 3728/1080 is 1/65880.