Greatest Common Factor of 6344/289, 3468/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6344/289, 3468/890

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 6344/289,3468/890

Given fractions are 6344/289,3468/890

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 6344,3468

Greatest Common Factor of Numerators i.e. GCF of 6344,3468 is 4 .

LCM of Denominators means LCM of 289,890 as per the given fractions.

LCM of 289,890 is 257210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6344,3468

GCF of Fractions 6344/289,3468/890 is 4/257210

2 6344, 3468
2 3172, 1734
1586, 867

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6344,3468 By Matching Biggest Common Factor Method

Greatest Common Factor of 6344,3468 By Matching Biggest Common Factor Method

Factors of 6344

List of positive integer factors of 6344 that divides 6344 without a remainder.

1,2,4,8,13,26,52,61,104,122,244,488,793,1586,3172,6344

Factors of 3468

List of positive integer factors of 3468 that divides 3468 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204,289,578,867,1156,1734,3468

Greatest Common Factor

We found the factors 6344,3468 . The biggest common factor number is the GCF number.
So the greatest common factor 6344,3468 is 4.

Lets's calculate LCM of 289,890

Given numbers has no common factors except 1. So, there LCM is their product i.e 257210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/257210

Therefore, the GCF of Fractions 6344/289,3468/890 is 4/257210

Least Common Multiple of 289,890 with GCF Formula

Least Common Multiple of 289,890 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 289,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,890) = 1

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

GCF(289,890) x common factors =1 x 1 = 1

LCM(289,890) = ( 289 × 890 ) / 1

LCM(289,890) = 257210 / 1

LCM(289,890) = 257210


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 6344/289, 3468/890

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 6344/289, 3468/890?

Answer: GCF of Numerators as per given numbers 6344/289, 3468/890 is

GCF of Numerators i.e. for 6344,3468 is 4

LCM of denominators i.e. for 289,890 is 257210.

Thus, GCF of Fractions is 4/257210.Finally, GCF of Fractions for 6344/289, 3468/890 is 4/257210.