Greatest Common Factor of 5348/200, 8175/3664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5348/200, 8175/3664

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 5348/200,8175/3664

Given fractions are 5348/200,8175/3664

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 5348,8175

Greatest Common Factor of Numerators i.e. GCF of 5348,8175 is 1 .

LCM of Denominators means LCM of 200,3664 as per the given fractions.

LCM of 200,3664 is 91600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5348,8175

GCF of Fractions 5348/200,8175/3664 is 1/91600

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

Greatest Common Factor of 5348,8175 By Matching Biggest Common Factor Method

Greatest Common Factor of 5348,8175 By Matching Biggest Common Factor Method

Factors of 5348

List of positive integer factors of 5348 that divides 5348 without a remainder.

1,2,4,7,14,28,191,382,764,1337,2674,5348

Factors of 8175

List of positive integer factors of 8175 that divides 8175 without a remainder.

1,3,5,15,25,75,109,327,545,1635,2725,8175

Greatest Common Factor

We found the factors 5348,8175 . The biggest common factor number is the GCF number.
So the greatest common factor 5348,8175 is 1.

Lets's calculate LCM of 200,3664

2 200, 3664
2 100, 1832
2 50, 916
25, 458

∴ So the LCM of the given numbers is 2 x 2 x 2 x 25 x 458 = 91600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91600

Therefore, the GCF of Fractions 5348/200,8175/3664 is 1/91600

Least Common Multiple of 200,3664 with GCF Formula

Least Common Multiple of 200,3664 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 200,3664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,3664) = 8

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

GCF(200,3664) x common factors =8 x 1 = 8

LCM(200,3664) = ( 200 × 3664 ) / 8

LCM(200,3664) = 732800 / 8

LCM(200,3664) = 91600


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 5348/200, 8175/3664

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 5348/200, 8175/3664?

Answer: GCF of Numerators as per given numbers 5348/200, 8175/3664 is

GCF of Numerators i.e. for 5348,8175 is 1

LCM of denominators i.e. for 200,3664 is 91600.

Thus, GCF of Fractions is 1/91600.Finally, GCF of Fractions for 5348/200, 8175/3664 is 1/91600.