Greatest Common Factor of 648/459, 319/139, 696/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 648/459, 319/139, 696/343

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 648/459,319/139,696/343

Given fractions are 648/459,319/139,696/343

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 648,319,696

Greatest Common Factor of Numerators i.e. GCF of 648,319,696 is 1 .

LCM of Denominators means LCM of 459,139,343 as per the given fractions.

LCM of 459,139,343 is 21883743 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 648,319,696

GCF of Fractions 648/459,319/139,696/343 is 1/21883743

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

Greatest Common Factor of 648,319,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,319,696 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 648,319,696 . The biggest common factor number is the GCF number.
So the greatest common factor 648,319,696 is 1.

Lets's calculate LCM of 459,139,343

Given numbers has no common factors except 1. So, there LCM is their product i.e 21883743

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21883743

Therefore, the GCF of Fractions 648/459,319/139,696/343 is 1/21883743

Least Common Multiple of 459,139,343 with GCF Formula

Least Common Multiple of 459,139,343 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 459,139,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,139,343) = 1

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

GCF(459,139,343) x common factors =1 x 1 = 1

LCM(459,139,343) = ( 459 × 139 × 343 ) / 1

LCM(459,139,343) = 21883743 / 1

LCM(459,139,343) = 21883743


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 648/459, 319/139, 696/343

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 648/459, 319/139, 696/343?

Answer: GCF of Numerators as per given numbers 648/459, 319/139, 696/343 is

GCF of Numerators i.e. for 648,319,696 is 1

LCM of denominators i.e. for 459,139,343 is 21883743.

Thus, GCF of Fractions is 1/21883743.Finally, GCF of Fractions for 648/459, 319/139, 696/343 is 1/21883743.