Greatest Common Factor of 8580/258, 8534/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8580/258, 8534/753

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 8580/258,8534/753

Given fractions are 8580/258,8534/753

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 8580,8534

Greatest Common Factor of Numerators i.e. GCF of 8580,8534 is 2 .

LCM of Denominators means LCM of 258,753 as per the given fractions.

LCM of 258,753 is 64758 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8580,8534

GCF of Fractions 8580/258,8534/753 is 2/64758

2 8580, 8534
4290, 4267

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

Greatest Common Factor of 8580,8534 By Matching Biggest Common Factor Method

Greatest Common Factor of 8580,8534 By Matching Biggest Common Factor Method

Factors of 8580

List of positive integer factors of 8580 that divides 8580 without a remainder.

1,2,3,4,5,6,10,11,12,13,15,20,22,26,30,33,39,44,52,55,60,65,66,78,110,130,132,143,156,165,195,220,260,286,330,390,429,572,660,715,780,858,1430,1716,2145,2860,4290,8580

Factors of 8534

List of positive integer factors of 8534 that divides 8534 without a remainder.

1,2,17,34,251,502,4267,8534

Greatest Common Factor

We found the factors 8580,8534 . The biggest common factor number is the GCF number.
So the greatest common factor 8580,8534 is 2.

Lets's calculate LCM of 258,753

3 258, 753
86, 251

∴ So the LCM of the given numbers is 3 x 86 x 251 = 64758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/64758

Therefore, the GCF of Fractions 8580/258,8534/753 is 2/64758

Least Common Multiple of 258,753 with GCF Formula

Least Common Multiple of 258,753 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 258,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,753) = 3

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

GCF(258,753) x common factors =3 x 1 = 3

LCM(258,753) = ( 258 × 753 ) / 3

LCM(258,753) = 194274 / 3

LCM(258,753) = 64758


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 8580/258, 8534/753

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 8580/258, 8534/753?

Answer: GCF of Numerators as per given numbers 8580/258, 8534/753 is

GCF of Numerators i.e. for 8580,8534 is 2

LCM of denominators i.e. for 258,753 is 64758.

Thus, GCF of Fractions is 2/64758.Finally, GCF of Fractions for 8580/258, 8534/753 is 2/64758.