Greatest Common Factor of 257/5584, 685/6442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 257/5584, 685/6442

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 257/5584,685/6442

Given fractions are 257/5584,685/6442

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 257,685

Greatest Common Factor of Numerators i.e. GCF of 257,685 is 1 .

LCM of Denominators means LCM of 5584,6442 as per the given fractions.

LCM of 5584,6442 is 17986064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 257,685

GCF of Fractions 257/5584,685/6442 is 1/17986064

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

Greatest Common Factor of 257,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,685 By Matching Biggest Common Factor Method

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 257,685 . The biggest common factor number is the GCF number.
So the greatest common factor 257,685 is 1.

Lets's calculate LCM of 5584,6442

2 5584, 6442
2792, 3221

∴ So the LCM of the given numbers is 2 x 2792 x 3221 = 17986064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17986064

Therefore, the GCF of Fractions 257/5584,685/6442 is 1/17986064

Least Common Multiple of 5584,6442 with GCF Formula

Least Common Multiple of 5584,6442 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 5584,6442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5584,6442) = 2

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

GCF(5584,6442) x common factors =2 x 1 = 2

LCM(5584,6442) = ( 5584 × 6442 ) / 2

LCM(5584,6442) = 35972128 / 2

LCM(5584,6442) = 17986064


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 257/5584, 685/6442

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 257/5584, 685/6442?

Answer: GCF of Numerators as per given numbers 257/5584, 685/6442 is

GCF of Numerators i.e. for 257,685 is 1

LCM of denominators i.e. for 5584,6442 is 17986064.

Thus, GCF of Fractions is 1/17986064.Finally, GCF of Fractions for 257/5584, 685/6442 is 1/17986064.