Greatest Common Factor of 4360/38, 8117/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4360/38, 8117/823

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 4360/38,8117/823

Given fractions are 4360/38,8117/823

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 4360,8117

Greatest Common Factor of Numerators i.e. GCF of 4360,8117 is 1 .

LCM of Denominators means LCM of 38,823 as per the given fractions.

LCM of 38,823 is 31274 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4360,8117

GCF of Fractions 4360/38,8117/823 is 1/31274

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

Greatest Common Factor of 4360,8117 By Matching Biggest Common Factor Method

Greatest Common Factor of 4360,8117 By Matching Biggest Common Factor Method

Factors of 4360

List of positive integer factors of 4360 that divides 4360 without a remainder.

1,2,4,5,8,10,20,40,109,218,436,545,872,1090,2180,4360

Factors of 8117

List of positive integer factors of 8117 that divides 8117 without a remainder.

1,8117

Greatest Common Factor

We found the factors 4360,8117 . The biggest common factor number is the GCF number.
So the greatest common factor 4360,8117 is 1.

Lets's calculate LCM of 38,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 31274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31274

Therefore, the GCF of Fractions 4360/38,8117/823 is 1/31274

Least Common Multiple of 38,823 with GCF Formula

Least Common Multiple of 38,823 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 38,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,823) = 1

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

GCF(38,823) x common factors =1 x 1 = 1

LCM(38,823) = ( 38 × 823 ) / 1

LCM(38,823) = 31274 / 1

LCM(38,823) = 31274


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 4360/38, 8117/823

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 4360/38, 8117/823?

Answer: GCF of Numerators as per given numbers 4360/38, 8117/823 is

GCF of Numerators i.e. for 4360,8117 is 1

LCM of denominators i.e. for 38,823 is 31274.

Thus, GCF of Fractions is 1/31274.Finally, GCF of Fractions for 4360/38, 8117/823 is 1/31274.