Greatest Common Factor of 7365/642, 1600/3989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7365/642, 1600/3989

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 7365/642,1600/3989

Given fractions are 7365/642,1600/3989

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 7365,1600

Greatest Common Factor of Numerators i.e. GCF of 7365,1600 is 5 .

LCM of Denominators means LCM of 642,3989 as per the given fractions.

LCM of 642,3989 is 2560938 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7365,1600

GCF of Fractions 7365/642,1600/3989 is 5/2560938

5 7365, 1600
1473, 320

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7365,1600 By Matching Biggest Common Factor Method

Greatest Common Factor of 7365,1600 By Matching Biggest Common Factor Method

Factors of 7365

List of positive integer factors of 7365 that divides 7365 without a remainder.

1,3,5,15,491,1473,2455,7365

Factors of 1600

List of positive integer factors of 1600 that divides 1600 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,160,200,320,400,800,1600

Greatest Common Factor

We found the factors 7365,1600 . The biggest common factor number is the GCF number.
So the greatest common factor 7365,1600 is 5.

Lets's calculate LCM of 642,3989

Given numbers has no common factors except 1. So, there LCM is their product i.e 2560938

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2560938

Therefore, the GCF of Fractions 7365/642,1600/3989 is 5/2560938

Least Common Multiple of 642,3989 with GCF Formula

Least Common Multiple of 642,3989 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 642,3989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,3989) = 1

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

GCF(642,3989) x common factors =1 x 1 = 1

LCM(642,3989) = ( 642 × 3989 ) / 1

LCM(642,3989) = 2560938 / 1

LCM(642,3989) = 2560938


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 7365/642, 1600/3989

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 7365/642, 1600/3989?

Answer: GCF of Numerators as per given numbers 7365/642, 1600/3989 is

GCF of Numerators i.e. for 7365,1600 is 5

LCM of denominators i.e. for 642,3989 is 2560938.

Thus, GCF of Fractions is 5/2560938.Finally, GCF of Fractions for 7365/642, 1600/3989 is 5/2560938.