Greatest Common Factor of 367/29, 698/15, 284/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 367/29, 698/15, 284/630

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 367/29,698/15,284/630

Given fractions are 367/29,698/15,284/630

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 367,698,284

Greatest Common Factor of Numerators i.e. GCF of 367,698,284 is 1 .

LCM of Denominators means LCM of 29,15,630 as per the given fractions.

LCM of 29,15,630 is 18270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 367,698,284

GCF of Fractions 367/29,698/15,284/630 is 1/18270

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

Greatest Common Factor of 367,698,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,698,284 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 284

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

1,2,4,71,142,284

Greatest Common Factor

We found the factors 367,698,284 . The biggest common factor number is the GCF number.
So the greatest common factor 367,698,284 is 1.

Lets's calculate LCM of 29,15,630

3 29, 15, 630
5 29, 5, 210
29, 1, 42

∴ So the LCM of the given numbers is 3 x 5 x 29 x 1 x 42 = 18270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18270

Therefore, the GCF of Fractions 367/29,698/15,284/630 is 1/18270

Least Common Multiple of 29,15,630 with GCF Formula

Least Common Multiple of 29,15,630 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 29,15,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,15,630) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(29,15,630) x common factors =1 x 15 = 15

LCM(29,15,630) = ( 29 × 15 × 630 ) / 15

LCM(29,15,630) = 274050 / 15

LCM(29,15,630) = 18270


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 367/29, 698/15, 284/630

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 367/29, 698/15, 284/630?

Answer: GCF of Numerators as per given numbers 367/29, 698/15, 284/630 is

GCF of Numerators i.e. for 367,698,284 is 1

LCM of denominators i.e. for 29,15,630 is 18270.

Thus, GCF of Fractions is 1/18270.Finally, GCF of Fractions for 367/29, 698/15, 284/630 is 1/18270.