Greatest Common Factor of 1067/459, 6574/8388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1067/459, 6574/8388

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 1067/459,6574/8388

Given fractions are 1067/459,6574/8388

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 1067,6574

Greatest Common Factor of Numerators i.e. GCF of 1067,6574 is 1 .

LCM of Denominators means LCM of 459,8388 as per the given fractions.

LCM of 459,8388 is 427788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1067,6574

GCF of Fractions 1067/459,6574/8388 is 1/427788

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

Greatest Common Factor of 1067,6574 By Matching Biggest Common Factor Method

Greatest Common Factor of 1067,6574 By Matching Biggest Common Factor Method

Factors of 1067

List of positive integer factors of 1067 that divides 1067 without a remainder.

1,11,97,1067

Factors of 6574

List of positive integer factors of 6574 that divides 6574 without a remainder.

1,2,19,38,173,346,3287,6574

Greatest Common Factor

We found the factors 1067,6574 . The biggest common factor number is the GCF number.
So the greatest common factor 1067,6574 is 1.

Lets's calculate LCM of 459,8388

3 459, 8388
3 153, 2796
51, 932

∴ So the LCM of the given numbers is 3 x 3 x 51 x 932 = 427788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/427788

Therefore, the GCF of Fractions 1067/459,6574/8388 is 1/427788

Least Common Multiple of 459,8388 with GCF Formula

Least Common Multiple of 459,8388 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 459,8388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,8388) = 9

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

GCF(459,8388) x common factors =9 x 1 = 9

LCM(459,8388) = ( 459 × 8388 ) / 9

LCM(459,8388) = 3850092 / 9

LCM(459,8388) = 427788


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 1067/459, 6574/8388

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 1067/459, 6574/8388?

Answer: GCF of Numerators as per given numbers 1067/459, 6574/8388 is

GCF of Numerators i.e. for 1067,6574 is 1

LCM of denominators i.e. for 459,8388 is 427788.

Thus, GCF of Fractions is 1/427788.Finally, GCF of Fractions for 1067/459, 6574/8388 is 1/427788.