Greatest Common Factor of 6390/949, 4358/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6390/949, 4358/506

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 6390/949,4358/506

Given fractions are 6390/949,4358/506

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 6390,4358

Greatest Common Factor of Numerators i.e. GCF of 6390,4358 is 2 .

LCM of Denominators means LCM of 949,506 as per the given fractions.

LCM of 949,506 is 480194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6390,4358

GCF of Fractions 6390/949,4358/506 is 2/480194

2 6390, 4358
3195, 2179

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

Greatest Common Factor of 6390,4358 By Matching Biggest Common Factor Method

Greatest Common Factor of 6390,4358 By Matching Biggest Common Factor Method

Factors of 6390

List of positive integer factors of 6390 that divides 6390 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,71,90,142,213,355,426,639,710,1065,1278,2130,3195,6390

Factors of 4358

List of positive integer factors of 4358 that divides 4358 without a remainder.

1,2,2179,4358

Greatest Common Factor

We found the factors 6390,4358 . The biggest common factor number is the GCF number.
So the greatest common factor 6390,4358 is 2.

Lets's calculate LCM of 949,506

Given numbers has no common factors except 1. So, there LCM is their product i.e 480194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/480194

Therefore, the GCF of Fractions 6390/949,4358/506 is 2/480194

Least Common Multiple of 949,506 with GCF Formula

Least Common Multiple of 949,506 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 949,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,506) = 1

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

GCF(949,506) x common factors =1 x 1 = 1

LCM(949,506) = ( 949 × 506 ) / 1

LCM(949,506) = 480194 / 1

LCM(949,506) = 480194


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 6390/949, 4358/506

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 6390/949, 4358/506?

Answer: GCF of Numerators as per given numbers 6390/949, 4358/506 is

GCF of Numerators i.e. for 6390,4358 is 2

LCM of denominators i.e. for 949,506 is 480194.

Thus, GCF of Fractions is 2/480194.Finally, GCF of Fractions for 6390/949, 4358/506 is 2/480194.