Greatest Common Factor of 4095/696, 5804/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4095/696, 5804/472

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 4095/696,5804/472

Given fractions are 4095/696,5804/472

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 4095,5804

Greatest Common Factor of Numerators i.e. GCF of 4095,5804 is 1 .

LCM of Denominators means LCM of 696,472 as per the given fractions.

LCM of 696,472 is 41064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4095,5804

GCF of Fractions 4095/696,5804/472 is 1/41064

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

Greatest Common Factor of 4095,5804 By Matching Biggest Common Factor Method

Greatest Common Factor of 4095,5804 By Matching Biggest Common Factor Method

Factors of 4095

List of positive integer factors of 4095 that divides 4095 without a remainder.

1,3,5,7,9,13,15,21,35,39,45,63,65,91,105,117,195,273,315,455,585,819,1365,4095

Factors of 5804

List of positive integer factors of 5804 that divides 5804 without a remainder.

1,2,4,1451,2902,5804

Greatest Common Factor

We found the factors 4095,5804 . The biggest common factor number is the GCF number.
So the greatest common factor 4095,5804 is 1.

Lets's calculate LCM of 696,472

2 696, 472
2 348, 236
2 174, 118
87, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 87 x 59 = 41064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41064

Therefore, the GCF of Fractions 4095/696,5804/472 is 1/41064

Least Common Multiple of 696,472 with GCF Formula

Least Common Multiple of 696,472 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 696,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,472) = 8

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

GCF(696,472) x common factors =8 x 1 = 8

LCM(696,472) = ( 696 × 472 ) / 8

LCM(696,472) = 328512 / 8

LCM(696,472) = 41064


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 4095/696, 5804/472

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 4095/696, 5804/472?

Answer: GCF of Numerators as per given numbers 4095/696, 5804/472 is

GCF of Numerators i.e. for 4095,5804 is 1

LCM of denominators i.e. for 696,472 is 41064.

Thus, GCF of Fractions is 1/41064.Finally, GCF of Fractions for 4095/696, 5804/472 is 1/41064.