Greatest Common Factor of 8251/432, 4567/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8251/432, 4567/674

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 8251/432,4567/674

Given fractions are 8251/432,4567/674

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 8251,4567

Greatest Common Factor of Numerators i.e. GCF of 8251,4567 is 1 .

LCM of Denominators means LCM of 432,674 as per the given fractions.

LCM of 432,674 is 145584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8251,4567

GCF of Fractions 8251/432,4567/674 is 1/145584

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

Greatest Common Factor of 8251,4567 By Matching Biggest Common Factor Method

Greatest Common Factor of 8251,4567 By Matching Biggest Common Factor Method

Factors of 8251

List of positive integer factors of 8251 that divides 8251 without a remainder.

1,37,223,8251

Factors of 4567

List of positive integer factors of 4567 that divides 4567 without a remainder.

1,4567

Greatest Common Factor

We found the factors 8251,4567 . The biggest common factor number is the GCF number.
So the greatest common factor 8251,4567 is 1.

Lets's calculate LCM of 432,674

2 432, 674
216, 337

∴ So the LCM of the given numbers is 2 x 216 x 337 = 145584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145584

Therefore, the GCF of Fractions 8251/432,4567/674 is 1/145584

Least Common Multiple of 432,674 with GCF Formula

Least Common Multiple of 432,674 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 432,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,674) = 2

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

GCF(432,674) x common factors =2 x 1 = 2

LCM(432,674) = ( 432 × 674 ) / 2

LCM(432,674) = 291168 / 2

LCM(432,674) = 145584


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 8251/432, 4567/674

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 8251/432, 4567/674?

Answer: GCF of Numerators as per given numbers 8251/432, 4567/674 is

GCF of Numerators i.e. for 8251,4567 is 1

LCM of denominators i.e. for 432,674 is 145584.

Thus, GCF of Fractions is 1/145584.Finally, GCF of Fractions for 8251/432, 4567/674 is 1/145584.