Greatest Common Factor of 284/369, 2214/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 284/369, 2214/707

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 284/369,2214/707

Given fractions are 284/369,2214/707

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 284,2214

Greatest Common Factor of Numerators i.e. GCF of 284,2214 is 2 .

LCM of Denominators means LCM of 369,707 as per the given fractions.

LCM of 369,707 is 260883 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 284,2214

GCF of Fractions 284/369,2214/707 is 2/260883

2 284, 2214
142, 1107

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

Greatest Common Factor of 284,2214 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,2214 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 2214

List of positive integer factors of 2214 that divides 2214 without a remainder.

1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214

Greatest Common Factor

We found the factors 284,2214 . The biggest common factor number is the GCF number.
So the greatest common factor 284,2214 is 2.

Lets's calculate LCM of 369,707

Given numbers has no common factors except 1. So, there LCM is their product i.e 260883

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/260883

Therefore, the GCF of Fractions 284/369,2214/707 is 2/260883

Least Common Multiple of 369,707 with GCF Formula

Least Common Multiple of 369,707 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 369,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,707) = 1

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

GCF(369,707) x common factors =1 x 1 = 1

LCM(369,707) = ( 369 × 707 ) / 1

LCM(369,707) = 260883 / 1

LCM(369,707) = 260883


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 284/369, 2214/707

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 284/369, 2214/707?

Answer: GCF of Numerators as per given numbers 284/369, 2214/707 is

GCF of Numerators i.e. for 284,2214 is 2

LCM of denominators i.e. for 369,707 is 260883.

Thus, GCF of Fractions is 2/260883.Finally, GCF of Fractions for 284/369, 2214/707 is 2/260883.