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GCF of 718/25, 728/671

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 718/25, 728/671 i.e 2/16775 easily. The following is the detailed procedure to determine the greatest common factor of fractions 718/25, 728/671.

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 718/25,728/671?

Given fractions are 718/25,728/671

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 718/25,728/671, numerators are 718,728

Denominators are 25,671

The GCF of 718,728 is 2 .

LCM of 25,671 is 16775.

The greatest common factor of 718/25,728/671 = [GCF of 718,728]/[LCM of 25,671]= 2/16775

Therefore, the GCF of 718/25,728/671 is 2/16775.

Greatest Common Factor of 718,728

To find the highest common factor of 718,728, we have to find the factors of both numbers and list the highest common factor.

The factors of 718 are 1, 2, 359, 718

The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

The HCF of 718,728 is 2.

Lets's calculate GCF of 718,728

Greatest Common Factor (GCF) of 718,728 By Common Division

2 718, 728
359, 364

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

Greatest Common Factor of 718,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,728 By Matching Biggest Common Factor Method

Now, list down the factors of 718

:

1,2,359,718

Now, list down the factors of 728

:

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 718,728 . The biggest common factor number is the GCF number.
So the greatest common factor 718,728 is 2.

Lets's calculate LCM of 25,671

Lowest Common Multiple of 25,671 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 16775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16775

Therefore, the GCF of Fractions 718/25,728/671 is 2/16775

Least Common Multiple of 25,671 with GCF Formula

Least Common Multiple of 25,671 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 25,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,671) = 1

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

GCF(25,671) x common factors =1 x 1 = 1

LCM(25,671) = ( 25 × 671 ) / 1

LCM(25,671) = 16775 / 1

LCM(25,671) = 16775


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FAQs on GCF of Fractions of 718/25, 728/671

1. What is the HCF of 718,728?

The HCF of 718,728 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 718/25, 728/671?

Answer: GCF of Numerators as per given numbers 718/25, 728/671 is

GCF of Numerators i.e. for 718,728 is 2

LCM of denominators i.e. for 25,671 is 16775.

Thus, GCF of Fractions is 2/16775.Finally, GCF of Fractions for 718/25, 728/671 is 2/16775.