Greatest Common Factor of 8677/182, 4114/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8677/182, 4114/564

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 8677/182,4114/564

Given fractions are 8677/182,4114/564

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 8677,4114

Greatest Common Factor of Numerators i.e. GCF of 8677,4114 is 1 .

LCM of Denominators means LCM of 182,564 as per the given fractions.

LCM of 182,564 is 51324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8677,4114

GCF of Fractions 8677/182,4114/564 is 1/51324

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

Greatest Common Factor of 8677,4114 By Matching Biggest Common Factor Method

Greatest Common Factor of 8677,4114 By Matching Biggest Common Factor Method

Factors of 8677

List of positive integer factors of 8677 that divides 8677 without a remainder.

1,8677

Factors of 4114

List of positive integer factors of 4114 that divides 4114 without a remainder.

1,2,11,17,22,34,121,187,242,374,2057,4114

Greatest Common Factor

We found the factors 8677,4114 . The biggest common factor number is the GCF number.
So the greatest common factor 8677,4114 is 1.

Lets's calculate LCM of 182,564

2 182, 564
91, 282

∴ So the LCM of the given numbers is 2 x 91 x 282 = 51324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51324

Therefore, the GCF of Fractions 8677/182,4114/564 is 1/51324

Least Common Multiple of 182,564 with GCF Formula

Least Common Multiple of 182,564 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 182,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,564) = 2

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

GCF(182,564) x common factors =2 x 1 = 2

LCM(182,564) = ( 182 × 564 ) / 2

LCM(182,564) = 102648 / 2

LCM(182,564) = 51324


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 8677/182, 4114/564

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 8677/182, 4114/564?

Answer: GCF of Numerators as per given numbers 8677/182, 4114/564 is

GCF of Numerators i.e. for 8677,4114 is 1

LCM of denominators i.e. for 182,564 is 51324.

Thus, GCF of Fractions is 1/51324.Finally, GCF of Fractions for 8677/182, 4114/564 is 1/51324.