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GCF of 727/304, 412/608

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 727/304, 412/608 i.e 1/608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 727/304, 412/608.

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 727/304,412/608?

Given fractions are 727/304,412/608

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 727/304,412/608, numerators are 727,412

Denominators are 304,608

The GCF of 727,412 is 1 .

LCM of 304,608 is 608.

The greatest common factor of 727/304,412/608 = [GCF of 727,412]/[LCM of 304,608]= 1/608

Therefore, the GCF of 727/304,412/608 is 1/608.

Greatest Common Factor of 727,412

To find the highest common factor of 727,412, we have to find the factors of both numbers and list the highest common factor.

The factors of 727 are 1, 727

The factors of 412 are 1, 2, 4, 103, 206, 412

The HCF of 727,412 is 1.

Lets's calculate GCF of 727,412

Greatest Common Factor (GCF) of 727,412 By Common Division

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

Greatest Common Factor of 727,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,412 By Matching Biggest Common Factor Method

Now, list down the factors of 727

:

1,727

Now, list down the factors of 412

:

1,2,4,103,206,412

Greatest Common Factor

We found the factors 727,412 . The biggest common factor number is the GCF number.
So the greatest common factor 727,412 is 1.

Lets's calculate LCM of 304,608

Lowest Common Multiple of 304,608 using Common Division

2 304, 608
2 152, 304
2 76, 152
2 38, 76
19 19, 38
1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 1 x 2 = 608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/608

Therefore, the GCF of Fractions 727/304,412/608 is 1/608

Least Common Multiple of 304,608 with GCF Formula

Least Common Multiple of 304,608 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 304,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,608) = 304

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

GCF(304,608) x common factors =304 x 1 = 304

LCM(304,608) = ( 304 × 608 ) / 304

LCM(304,608) = 184832 / 304

LCM(304,608) = 608


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FAQs on GCF of Fractions of 727/304, 412/608

1. What is the HCF of 727,412?

The HCF of 727,412 is 1

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 727/304, 412/608?

Answer: GCF of Numerators as per given numbers 727/304, 412/608 is

GCF of Numerators i.e. for 727,412 is 1

LCM of denominators i.e. for 304,608 is 608.

Thus, GCF of Fractions is 1/608.Finally, GCF of Fractions for 727/304, 412/608 is 1/608.