Greatest Common Factor of 1214/84, 1999/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1214/84, 1999/734

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 1214/84,1999/734

Given fractions are 1214/84,1999/734

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 1214,1999

Greatest Common Factor of Numerators i.e. GCF of 1214,1999 is 1 .

LCM of Denominators means LCM of 84,734 as per the given fractions.

LCM of 84,734 is 30828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1214,1999

GCF of Fractions 1214/84,1999/734 is 1/30828

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

Greatest Common Factor of 1214,1999 By Matching Biggest Common Factor Method

Greatest Common Factor of 1214,1999 By Matching Biggest Common Factor Method

Factors of 1214

List of positive integer factors of 1214 that divides 1214 without a remainder.

1,2,607,1214

Factors of 1999

List of positive integer factors of 1999 that divides 1999 without a remainder.

1,1999

Greatest Common Factor

We found the factors 1214,1999 . The biggest common factor number is the GCF number.
So the greatest common factor 1214,1999 is 1.

Lets's calculate LCM of 84,734

2 84, 734
42, 367

∴ So the LCM of the given numbers is 2 x 42 x 367 = 30828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30828

Therefore, the GCF of Fractions 1214/84,1999/734 is 1/30828

Least Common Multiple of 84,734 with GCF Formula

Least Common Multiple of 84,734 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 84,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,734) = 2

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

GCF(84,734) x common factors =2 x 1 = 2

LCM(84,734) = ( 84 × 734 ) / 2

LCM(84,734) = 61656 / 2

LCM(84,734) = 30828


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 1214/84, 1999/734

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 1214/84, 1999/734?

Answer: GCF of Numerators as per given numbers 1214/84, 1999/734 is

GCF of Numerators i.e. for 1214,1999 is 1

LCM of denominators i.e. for 84,734 is 30828.

Thus, GCF of Fractions is 1/30828.Finally, GCF of Fractions for 1214/84, 1999/734 is 1/30828.