Greatest Common Factor of 687/44, 457/59, 229/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 687/44, 457/59, 229/802

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 687/44,457/59,229/802

Given fractions are 687/44,457/59,229/802

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 687,457,229

Greatest Common Factor of Numerators i.e. GCF of 687,457,229 is 1 .

LCM of Denominators means LCM of 44,59,802 as per the given fractions.

LCM of 44,59,802 is 1040996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 687,457,229

GCF of Fractions 687/44,457/59,229/802 is 1/1040996

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

Greatest Common Factor of 687,457,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,457,229 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 687,457,229 . The biggest common factor number is the GCF number.
So the greatest common factor 687,457,229 is 1.

Lets's calculate LCM of 44,59,802

2 44, 59, 802
22, 59, 401

∴ So the LCM of the given numbers is 2 x 22 x 59 x 401 = 1040996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1040996

Therefore, the GCF of Fractions 687/44,457/59,229/802 is 1/1040996

Least Common Multiple of 44,59,802 with GCF Formula

Least Common Multiple of 44,59,802 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 44,59,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,59,802) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(44,59,802) x common factors =1 x 2 = 2

LCM(44,59,802) = ( 44 × 59 × 802 ) / 2

LCM(44,59,802) = 2081992 / 2

LCM(44,59,802) = 1040996


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 687/44, 457/59, 229/802

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 687/44, 457/59, 229/802?

Answer: GCF of Numerators as per given numbers 687/44, 457/59, 229/802 is

GCF of Numerators i.e. for 687,457,229 is 1

LCM of denominators i.e. for 44,59,802 is 1040996.

Thus, GCF of Fractions is 1/1040996.Finally, GCF of Fractions for 687/44, 457/59, 229/802 is 1/1040996.