Greatest Common Factor of 8588/122, 1501/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8588/122, 1501/316

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 8588/122,1501/316

Given fractions are 8588/122,1501/316

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 8588,1501

Greatest Common Factor of Numerators i.e. GCF of 8588,1501 is 19 .

LCM of Denominators means LCM of 122,316 as per the given fractions.

LCM of 122,316 is 19276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8588,1501

GCF of Fractions 8588/122,1501/316 is 19/19276

19 8588, 1501
452, 79

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 8588,1501 By Matching Biggest Common Factor Method

Greatest Common Factor of 8588,1501 By Matching Biggest Common Factor Method

Factors of 8588

List of positive integer factors of 8588 that divides 8588 without a remainder.

1,2,4,19,38,76,113,226,452,2147,4294,8588

Factors of 1501

List of positive integer factors of 1501 that divides 1501 without a remainder.

1,19,79,1501

Greatest Common Factor

We found the factors 8588,1501 . The biggest common factor number is the GCF number.
So the greatest common factor 8588,1501 is 19.

Lets's calculate LCM of 122,316

2 122, 316
61, 158

∴ So the LCM of the given numbers is 2 x 61 x 158 = 19276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/19276

Therefore, the GCF of Fractions 8588/122,1501/316 is 19/19276

Least Common Multiple of 122,316 with GCF Formula

Least Common Multiple of 122,316 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 122,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(122,316) = 2

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

GCF(122,316) x common factors =2 x 1 = 2

LCM(122,316) = ( 122 × 316 ) / 2

LCM(122,316) = 38552 / 2

LCM(122,316) = 19276


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 8588/122, 1501/316

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 8588/122, 1501/316?

Answer: GCF of Numerators as per given numbers 8588/122, 1501/316 is

GCF of Numerators i.e. for 8588,1501 is 19

LCM of denominators i.e. for 122,316 is 19276.

Thus, GCF of Fractions is 19/19276.Finally, GCF of Fractions for 8588/122, 1501/316 is 19/19276.