Greatest Common Factor of 463/12, 6240/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 463/12, 6240/830

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 463/12,6240/830

Given fractions are 463/12,6240/830

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 463,6240

Greatest Common Factor of Numerators i.e. GCF of 463,6240 is 1 .

LCM of Denominators means LCM of 12,830 as per the given fractions.

LCM of 12,830 is 4980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 463,6240

GCF of Fractions 463/12,6240/830 is 1/4980

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

Greatest Common Factor of 463,6240 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,6240 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 6240

List of positive integer factors of 6240 that divides 6240 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,32,39,40,48,52,60,65,78,80,96,104,120,130,156,160,195,208,240,260,312,390,416,480,520,624,780,1040,1248,1560,2080,3120,6240

Greatest Common Factor

We found the factors 463,6240 . The biggest common factor number is the GCF number.
So the greatest common factor 463,6240 is 1.

Lets's calculate LCM of 12,830

2 12, 830
6, 415

∴ So the LCM of the given numbers is 2 x 6 x 415 = 4980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4980

Therefore, the GCF of Fractions 463/12,6240/830 is 1/4980

Least Common Multiple of 12,830 with GCF Formula

Least Common Multiple of 12,830 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 12,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,830) = 2

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

GCF(12,830) x common factors =2 x 1 = 2

LCM(12,830) = ( 12 × 830 ) / 2

LCM(12,830) = 9960 / 2

LCM(12,830) = 4980


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 463/12, 6240/830

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 463/12, 6240/830?

Answer: GCF of Numerators as per given numbers 463/12, 6240/830 is

GCF of Numerators i.e. for 463,6240 is 1

LCM of denominators i.e. for 12,830 is 4980.

Thus, GCF of Fractions is 1/4980.Finally, GCF of Fractions for 463/12, 6240/830 is 1/4980.