Greatest Common Factor of 4286/427, 8504/7242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4286/427, 8504/7242

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 4286/427,8504/7242

Given fractions are 4286/427,8504/7242

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 4286,8504

Greatest Common Factor of Numerators i.e. GCF of 4286,8504 is 2 .

LCM of Denominators means LCM of 427,7242 as per the given fractions.

LCM of 427,7242 is 3092334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4286,8504

GCF of Fractions 4286/427,8504/7242 is 2/3092334

2 4286, 8504
2143, 4252

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

Greatest Common Factor of 4286,8504 By Matching Biggest Common Factor Method

Greatest Common Factor of 4286,8504 By Matching Biggest Common Factor Method

Factors of 4286

List of positive integer factors of 4286 that divides 4286 without a remainder.

1,2,2143,4286

Factors of 8504

List of positive integer factors of 8504 that divides 8504 without a remainder.

1,2,4,8,1063,2126,4252,8504

Greatest Common Factor

We found the factors 4286,8504 . The biggest common factor number is the GCF number.
So the greatest common factor 4286,8504 is 2.

Lets's calculate LCM of 427,7242

Given numbers has no common factors except 1. So, there LCM is their product i.e 3092334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3092334

Therefore, the GCF of Fractions 4286/427,8504/7242 is 2/3092334

Least Common Multiple of 427,7242 with GCF Formula

Least Common Multiple of 427,7242 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 427,7242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,7242) = 1

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

GCF(427,7242) x common factors =1 x 1 = 1

LCM(427,7242) = ( 427 × 7242 ) / 1

LCM(427,7242) = 3092334 / 1

LCM(427,7242) = 3092334


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 4286/427, 8504/7242

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 4286/427, 8504/7242?

Answer: GCF of Numerators as per given numbers 4286/427, 8504/7242 is

GCF of Numerators i.e. for 4286,8504 is 2

LCM of denominators i.e. for 427,7242 is 3092334.

Thus, GCF of Fractions is 2/3092334.Finally, GCF of Fractions for 4286/427, 8504/7242 is 2/3092334.