Greatest Common Factor of 1430/861, 8004/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1430/861, 8004/486

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 1430/861,8004/486

Given fractions are 1430/861,8004/486

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 1430,8004

Greatest Common Factor of Numerators i.e. GCF of 1430,8004 is 2 .

LCM of Denominators means LCM of 861,486 as per the given fractions.

LCM of 861,486 is 139482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1430,8004

GCF of Fractions 1430/861,8004/486 is 2/139482

2 1430, 8004
715, 4002

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

Greatest Common Factor of 1430,8004 By Matching Biggest Common Factor Method

Greatest Common Factor of 1430,8004 By Matching Biggest Common Factor Method

Factors of 1430

List of positive integer factors of 1430 that divides 1430 without a remainder.

1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430

Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004

Greatest Common Factor

We found the factors 1430,8004 . The biggest common factor number is the GCF number.
So the greatest common factor 1430,8004 is 2.

Lets's calculate LCM of 861,486

3 861, 486
287, 162

∴ So the LCM of the given numbers is 3 x 287 x 162 = 139482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/139482

Therefore, the GCF of Fractions 1430/861,8004/486 is 2/139482

Least Common Multiple of 861,486 with GCF Formula

Least Common Multiple of 861,486 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 861,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,486) = 3

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

GCF(861,486) x common factors =3 x 1 = 3

LCM(861,486) = ( 861 × 486 ) / 3

LCM(861,486) = 418446 / 3

LCM(861,486) = 139482


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 1430/861, 8004/486

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 1430/861, 8004/486?

Answer: GCF of Numerators as per given numbers 1430/861, 8004/486 is

GCF of Numerators i.e. for 1430,8004 is 2

LCM of denominators i.e. for 861,486 is 139482.

Thus, GCF of Fractions is 2/139482.Finally, GCF of Fractions for 1430/861, 8004/486 is 2/139482.