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GCF of 727/704, 296/772

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 727/704, 296/772 i.e 1/135872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 727/704, 296/772.

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 727/704,296/772?

Given fractions are 727/704,296/772

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 727/704,296/772, numerators are 727,296

Denominators are 704,772

The GCF of 727,296 is 1 .

LCM of 704,772 is 135872.

The greatest common factor of 727/704,296/772 = [GCF of 727,296]/[LCM of 704,772]= 1/135872

Therefore, the GCF of 727/704,296/772 is 1/135872.

Greatest Common Factor of 727,296

To find the highest common factor of 727,296, 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 296 are 1, 2, 4, 8, 37, 74, 148, 296

The HCF of 727,296 is 1.

Lets's calculate GCF of 727,296

Greatest Common Factor (GCF) of 727,296 By Common Division

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

Greatest Common Factor of 727,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,296 By Matching Biggest Common Factor Method

Now, list down the factors of 727

:

1,727

Now, list down the factors of 296

:

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 727,296 . The biggest common factor number is the GCF number.
So the greatest common factor 727,296 is 1.

Lets's calculate LCM of 704,772

Lowest Common Multiple of 704,772 using Common Division

2 704, 772
2 352, 386
176, 193

∴ So the LCM of the given numbers is 2 x 2 x 176 x 193 = 135872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135872

Therefore, the GCF of Fractions 727/704,296/772 is 1/135872

Least Common Multiple of 704,772 with GCF Formula

Least Common Multiple of 704,772 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 704,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,772) = 4

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

GCF(704,772) x common factors =4 x 1 = 4

LCM(704,772) = ( 704 × 772 ) / 4

LCM(704,772) = 543488 / 4

LCM(704,772) = 135872


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FAQs on GCF of Fractions of 727/704, 296/772

1. What is the HCF of 727,296?

The HCF of 727,296 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 727/704, 296/772?

Answer: GCF of Numerators as per given numbers 727/704, 296/772 is

GCF of Numerators i.e. for 727,296 is 1

LCM of denominators i.e. for 704,772 is 135872.

Thus, GCF of Fractions is 1/135872.Finally, GCF of Fractions for 727/704, 296/772 is 1/135872.