Greatest Common Factor of 354/514, 729/594, 889/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 354/514, 729/594, 889/302

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 354/514,729/594,889/302

Given fractions are 354/514,729/594,889/302

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 354,729,889

Greatest Common Factor of Numerators i.e. GCF of 354,729,889 is 1 .

LCM of Denominators means LCM of 514,594,302 as per the given fractions.

LCM of 514,594,302 is 23051358 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 354,729,889

GCF of Fractions 354/514,729/594,889/302 is 1/23051358

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

Greatest Common Factor of 354,729,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,729,889 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 354,729,889 . The biggest common factor number is the GCF number.
So the greatest common factor 354,729,889 is 1.

Lets's calculate LCM of 514,594,302

2 514, 594, 302
257, 297, 151

∴ So the LCM of the given numbers is 2 x 257 x 297 x 151 = 23051358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23051358

Therefore, the GCF of Fractions 354/514,729/594,889/302 is 1/23051358

Least Common Multiple of 514,594,302 with GCF Formula

Least Common Multiple of 514,594,302 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 514,594,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,594,302) = 2

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

GCF(514,594,302) x common factors =2 x 2 = 4

LCM(514,594,302) = ( 514 × 594 × 302 ) / 4

LCM(514,594,302) = 92205432 / 4

LCM(514,594,302) = 23051358


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 354/514, 729/594, 889/302

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 354/514, 729/594, 889/302?

Answer: GCF of Numerators as per given numbers 354/514, 729/594, 889/302 is

GCF of Numerators i.e. for 354,729,889 is 1

LCM of denominators i.e. for 514,594,302 is 23051358.

Thus, GCF of Fractions is 1/23051358.Finally, GCF of Fractions for 354/514, 729/594, 889/302 is 1/23051358.