Greatest Common Factor of 8227/362, 5970/8418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8227/362, 5970/8418

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 8227/362,5970/8418

Given fractions are 8227/362,5970/8418

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 8227,5970

Greatest Common Factor of Numerators i.e. GCF of 8227,5970 is 1 .

LCM of Denominators means LCM of 362,8418 as per the given fractions.

LCM of 362,8418 is 1523658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8227,5970

GCF of Fractions 8227/362,5970/8418 is 1/1523658

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

Greatest Common Factor of 8227,5970 By Matching Biggest Common Factor Method

Greatest Common Factor of 8227,5970 By Matching Biggest Common Factor Method

Factors of 8227

List of positive integer factors of 8227 that divides 8227 without a remainder.

1,19,433,8227

Factors of 5970

List of positive integer factors of 5970 that divides 5970 without a remainder.

1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970

Greatest Common Factor

We found the factors 8227,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 8227,5970 is 1.

Lets's calculate LCM of 362,8418

2 362, 8418
181, 4209

∴ So the LCM of the given numbers is 2 x 181 x 4209 = 1523658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1523658

Therefore, the GCF of Fractions 8227/362,5970/8418 is 1/1523658

Least Common Multiple of 362,8418 with GCF Formula

Least Common Multiple of 362,8418 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 362,8418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,8418) = 2

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

GCF(362,8418) x common factors =2 x 1 = 2

LCM(362,8418) = ( 362 × 8418 ) / 2

LCM(362,8418) = 3047316 / 2

LCM(362,8418) = 1523658


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 8227/362, 5970/8418

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 8227/362, 5970/8418?

Answer: GCF of Numerators as per given numbers 8227/362, 5970/8418 is

GCF of Numerators i.e. for 8227,5970 is 1

LCM of denominators i.e. for 362,8418 is 1523658.

Thus, GCF of Fractions is 1/1523658.Finally, GCF of Fractions for 8227/362, 5970/8418 is 1/1523658.