Greatest Common Factor of 8488/102, 5026/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8488/102, 5026/727

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 8488/102,5026/727

Given fractions are 8488/102,5026/727

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 8488,5026

Greatest Common Factor of Numerators i.e. GCF of 8488,5026 is 2 .

LCM of Denominators means LCM of 102,727 as per the given fractions.

LCM of 102,727 is 74154 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8488,5026

GCF of Fractions 8488/102,5026/727 is 2/74154

2 8488, 5026
4244, 2513

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

Greatest Common Factor of 8488,5026 By Matching Biggest Common Factor Method

Greatest Common Factor of 8488,5026 By Matching Biggest Common Factor Method

Factors of 8488

List of positive integer factors of 8488 that divides 8488 without a remainder.

1,2,4,8,1061,2122,4244,8488

Factors of 5026

List of positive integer factors of 5026 that divides 5026 without a remainder.

1,2,7,14,359,718,2513,5026

Greatest Common Factor

We found the factors 8488,5026 . The biggest common factor number is the GCF number.
So the greatest common factor 8488,5026 is 2.

Lets's calculate LCM of 102,727

Given numbers has no common factors except 1. So, there LCM is their product i.e 74154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74154

Therefore, the GCF of Fractions 8488/102,5026/727 is 2/74154

Least Common Multiple of 102,727 with GCF Formula

Least Common Multiple of 102,727 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 102,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,727) = 1

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

GCF(102,727) x common factors =1 x 1 = 1

LCM(102,727) = ( 102 × 727 ) / 1

LCM(102,727) = 74154 / 1

LCM(102,727) = 74154


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 8488/102, 5026/727

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 8488/102, 5026/727?

Answer: GCF of Numerators as per given numbers 8488/102, 5026/727 is

GCF of Numerators i.e. for 8488,5026 is 2

LCM of denominators i.e. for 102,727 is 74154.

Thus, GCF of Fractions is 2/74154.Finally, GCF of Fractions for 8488/102, 5026/727 is 2/74154.