Greatest Common Factor of 440/42, 8054/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 440/42, 8054/517

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 440/42,8054/517

Given fractions are 440/42,8054/517

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 440,8054

Greatest Common Factor of Numerators i.e. GCF of 440,8054 is 2 .

LCM of Denominators means LCM of 42,517 as per the given fractions.

LCM of 42,517 is 21714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 440,8054

GCF of Fractions 440/42,8054/517 is 2/21714

2 440, 8054
220, 4027

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

Greatest Common Factor of 440,8054 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,8054 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 8054

List of positive integer factors of 8054 that divides 8054 without a remainder.

1,2,4027,8054

Greatest Common Factor

We found the factors 440,8054 . The biggest common factor number is the GCF number.
So the greatest common factor 440,8054 is 2.

Lets's calculate LCM of 42,517

Given numbers has no common factors except 1. So, there LCM is their product i.e 21714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21714

Therefore, the GCF of Fractions 440/42,8054/517 is 2/21714

Least Common Multiple of 42,517 with GCF Formula

Least Common Multiple of 42,517 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 42,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,517) = 1

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

GCF(42,517) x common factors =1 x 1 = 1

LCM(42,517) = ( 42 × 517 ) / 1

LCM(42,517) = 21714 / 1

LCM(42,517) = 21714


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 440/42, 8054/517

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 440/42, 8054/517?

Answer: GCF of Numerators as per given numbers 440/42, 8054/517 is

GCF of Numerators i.e. for 440,8054 is 2

LCM of denominators i.e. for 42,517 is 21714.

Thus, GCF of Fractions is 2/21714.Finally, GCF of Fractions for 440/42, 8054/517 is 2/21714.