Greatest Common Factor of 28/66, 69/28, 742/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/66, 69/28, 742/415

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 28/66,69/28,742/415

Given fractions are 28/66,69/28,742/415

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 28,69,742

Greatest Common Factor of Numerators i.e. GCF of 28,69,742 is 1 .

LCM of Denominators means LCM of 66,28,415 as per the given fractions.

LCM of 66,28,415 is 383460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,69,742

GCF of Fractions 28/66,69/28,742/415 is 1/383460

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

Greatest Common Factor of 28,69,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,69,742 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 69

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

1,3,23,69

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 28,69,742 . The biggest common factor number is the GCF number.
So the greatest common factor 28,69,742 is 1.

Lets's calculate LCM of 66,28,415

2 66, 28, 415
33, 14, 415

∴ So the LCM of the given numbers is 2 x 33 x 14 x 415 = 383460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/383460

Therefore, the GCF of Fractions 28/66,69/28,742/415 is 1/383460

Least Common Multiple of 66,28,415 with GCF Formula

Least Common Multiple of 66,28,415 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 66,28,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,28,415) = 1

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

GCF(66,28,415) x common factors =1 x 2 = 2

LCM(66,28,415) = ( 66 × 28 × 415 ) / 2

LCM(66,28,415) = 766920 / 2

LCM(66,28,415) = 383460


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 28/66, 69/28, 742/415

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 28/66, 69/28, 742/415?

Answer: GCF of Numerators as per given numbers 28/66, 69/28, 742/415 is

GCF of Numerators i.e. for 28,69,742 is 1

LCM of denominators i.e. for 66,28,415 is 383460.

Thus, GCF of Fractions is 1/383460.Finally, GCF of Fractions for 28/66, 69/28, 742/415 is 1/383460.