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GCF of 742/28, 306/6663

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 742/28, 306/6663 i.e 2/186564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 742/28, 306/6663.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 742/28,306/6663?

Given fractions are 742/28,306/6663

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 742/28,306/6663, numerators are 742,306

Denominators are 28,6663

The GCF of 742,306 is 2 .

LCM of 28,6663 is 186564.

The greatest common factor of 742/28,306/6663 = [GCF of 742,306]/[LCM of 28,6663]= 2/186564

Therefore, the GCF of 742/28,306/6663 is 2/186564.

Greatest Common Factor of 742,306

To find the highest common factor of 742,306, we have to find the factors of both numbers and list the highest common factor.

The factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742

The factors of 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

The HCF of 742,306 is 2.

Lets's calculate GCF of 742,306

Greatest Common Factor (GCF) of 742,306 By Common Division

2 742, 306
371, 153

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

Greatest Common Factor of 742,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,306 By Matching Biggest Common Factor Method

Now, list down the factors of 742

:

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

Now, list down the factors of 306

:

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 742,306 . The biggest common factor number is the GCF number.
So the greatest common factor 742,306 is 2.

Lets's calculate LCM of 28,6663

Lowest Common Multiple of 28,6663 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 186564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/186564

Therefore, the GCF of Fractions 742/28,306/6663 is 2/186564

Least Common Multiple of 28,6663 with GCF Formula

Least Common Multiple of 28,6663 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 28,6663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,6663) = 1

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

GCF(28,6663) x common factors =1 x 1 = 1

LCM(28,6663) = ( 28 × 6663 ) / 1

LCM(28,6663) = 186564 / 1

LCM(28,6663) = 186564


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FAQs on GCF of Fractions of 742/28, 306/6663

1. What is the HCF of 742,306?

The HCF of 742,306 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 742/28, 306/6663?

Answer: GCF of Numerators as per given numbers 742/28, 306/6663 is

GCF of Numerators i.e. for 742,306 is 2

LCM of denominators i.e. for 28,6663 is 186564.

Thus, GCF of Fractions is 2/186564.Finally, GCF of Fractions for 742/28, 306/6663 is 2/186564.