Greatest Common Factor of 9/28, 74/15, 69/286, 607/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/28, 74/15, 69/286, 607/569

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 9/28,74/15,69/286,607/569

Given fractions are 9/28,74/15,69/286,607/569

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 9,74,69,607

Greatest Common Factor of Numerators i.e. GCF of 9,74,69,607 is 1 .

LCM of Denominators means LCM of 28,15,286,569 as per the given fractions.

LCM of 28,15,286,569 is 34174140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,74,69,607

GCF of Fractions 9/28,74/15,69/286,607/569 is 1/34174140

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

Greatest Common Factor of 9,74,69,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,74,69,607 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 9,74,69,607 . The biggest common factor number is the GCF number.
So the greatest common factor 9,74,69,607 is 1.

Lets's calculate LCM of 28,15,286,569

2 28, 15, 286, 569
14, 15, 143, 569

∴ So the LCM of the given numbers is 2 x 14 x 15 x 143 x 569 = 34174140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34174140

Therefore, the GCF of Fractions 9/28,74/15,69/286,607/569 is 1/34174140

Least Common Multiple of 28,15,286,569 with GCF Formula

Least Common Multiple of 28,15,286,569 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 28,15,286,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,15,286,569) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(28,15,286,569) x common factors =1 x 2 = 2

LCM(28,15,286,569) = ( 28 × 15 × 286 × 569 ) / 2

LCM(28,15,286,569) = 68348280 / 2

LCM(28,15,286,569) = 34174140


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 9/28, 74/15, 69/286, 607/569

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 9/28, 74/15, 69/286, 607/569?

Answer: GCF of Numerators as per given numbers 9/28, 74/15, 69/286, 607/569 is

GCF of Numerators i.e. for 9,74,69,607 is 1

LCM of denominators i.e. for 28,15,286,569 is 34174140.

Thus, GCF of Fractions is 1/34174140.Finally, GCF of Fractions for 9/28, 74/15, 69/286, 607/569 is 1/34174140.