Greatest Common Factor of 5857/306, 5430/8503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5857/306, 5430/8503

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 5857/306,5430/8503

Given fractions are 5857/306,5430/8503

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 5857,5430

Greatest Common Factor of Numerators i.e. GCF of 5857,5430 is 1 .

LCM of Denominators means LCM of 306,8503 as per the given fractions.

LCM of 306,8503 is 2601918 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5857,5430

GCF of Fractions 5857/306,5430/8503 is 1/2601918

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

Greatest Common Factor of 5857,5430 By Matching Biggest Common Factor Method

Greatest Common Factor of 5857,5430 By Matching Biggest Common Factor Method

Factors of 5857

List of positive integer factors of 5857 that divides 5857 without a remainder.

1,5857

Factors of 5430

List of positive integer factors of 5430 that divides 5430 without a remainder.

1,2,3,5,6,10,15,30,181,362,543,905,1086,1810,2715,5430

Greatest Common Factor

We found the factors 5857,5430 . The biggest common factor number is the GCF number.
So the greatest common factor 5857,5430 is 1.

Lets's calculate LCM of 306,8503

Given numbers has no common factors except 1. So, there LCM is their product i.e 2601918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2601918

Therefore, the GCF of Fractions 5857/306,5430/8503 is 1/2601918

Least Common Multiple of 306,8503 with GCF Formula

Least Common Multiple of 306,8503 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 306,8503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,8503) = 1

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

GCF(306,8503) x common factors =1 x 1 = 1

LCM(306,8503) = ( 306 × 8503 ) / 1

LCM(306,8503) = 2601918 / 1

LCM(306,8503) = 2601918


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 5857/306, 5430/8503

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 5857/306, 5430/8503?

Answer: GCF of Numerators as per given numbers 5857/306, 5430/8503 is

GCF of Numerators i.e. for 5857,5430 is 1

LCM of denominators i.e. for 306,8503 is 2601918.

Thus, GCF of Fractions is 1/2601918.Finally, GCF of Fractions for 5857/306, 5430/8503 is 1/2601918.