Greatest Common Factor of 440/106, 678/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 440/106, 678/298

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 440/106,678/298

Given fractions are 440/106,678/298

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 440,678

Greatest Common Factor of Numerators i.e. GCF of 440,678 is 2 .

LCM of Denominators means LCM of 106,298 as per the given fractions.

LCM of 106,298 is 15794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 440,678

GCF of Fractions 440/106,678/298 is 2/15794

2 440, 678
220, 339

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 440,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,678 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 440,678 . The biggest common factor number is the GCF number.
So the greatest common factor 440,678 is 2.

Lets's calculate LCM of 106,298

2 106, 298
53, 149

∴ So the LCM of the given numbers is 2 x 53 x 149 = 15794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15794

Therefore, the GCF of Fractions 440/106,678/298 is 2/15794

Least Common Multiple of 106,298 with GCF Formula

Least Common Multiple of 106,298 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 106,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,298) = 2

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

GCF(106,298) x common factors =2 x 1 = 2

LCM(106,298) = ( 106 × 298 ) / 2

LCM(106,298) = 31588 / 2

LCM(106,298) = 15794


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 440/106, 678/298

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 440/106, 678/298?

Answer: GCF of Numerators as per given numbers 440/106, 678/298 is

GCF of Numerators i.e. for 440,678 is 2

LCM of denominators i.e. for 106,298 is 15794.

Thus, GCF of Fractions is 2/15794.Finally, GCF of Fractions for 440/106, 678/298 is 2/15794.