Greatest Common Factor of 6214/380, 7890/8242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6214/380, 7890/8242

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 6214/380,7890/8242

Given fractions are 6214/380,7890/8242

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 6214,7890

Greatest Common Factor of Numerators i.e. GCF of 6214,7890 is 2 .

LCM of Denominators means LCM of 380,8242 as per the given fractions.

LCM of 380,8242 is 1565980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6214,7890

GCF of Fractions 6214/380,7890/8242 is 2/1565980

2 6214, 7890
3107, 3945

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

Greatest Common Factor of 6214,7890 By Matching Biggest Common Factor Method

Greatest Common Factor of 6214,7890 By Matching Biggest Common Factor Method

Factors of 6214

List of positive integer factors of 6214 that divides 6214 without a remainder.

1,2,13,26,239,478,3107,6214

Factors of 7890

List of positive integer factors of 7890 that divides 7890 without a remainder.

1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890

Greatest Common Factor

We found the factors 6214,7890 . The biggest common factor number is the GCF number.
So the greatest common factor 6214,7890 is 2.

Lets's calculate LCM of 380,8242

2 380, 8242
190, 4121

∴ So the LCM of the given numbers is 2 x 190 x 4121 = 1565980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1565980

Therefore, the GCF of Fractions 6214/380,7890/8242 is 2/1565980

Least Common Multiple of 380,8242 with GCF Formula

Least Common Multiple of 380,8242 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 380,8242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,8242) = 2

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

GCF(380,8242) x common factors =2 x 1 = 2

LCM(380,8242) = ( 380 × 8242 ) / 2

LCM(380,8242) = 3131960 / 2

LCM(380,8242) = 1565980


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 6214/380, 7890/8242

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 6214/380, 7890/8242?

Answer: GCF of Numerators as per given numbers 6214/380, 7890/8242 is

GCF of Numerators i.e. for 6214,7890 is 2

LCM of denominators i.e. for 380,8242 is 1565980.

Thus, GCF of Fractions is 2/1565980.Finally, GCF of Fractions for 6214/380, 7890/8242 is 2/1565980.