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GCF of 888/81, 131/728

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 888/81, 131/728 i.e 1/58968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 888/81, 131/728.

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 888/81,131/728?

Given fractions are 888/81,131/728

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 888/81,131/728, numerators are 888,131

Denominators are 81,728

The GCF of 888,131 is 1 .

LCM of 81,728 is 58968.

The greatest common factor of 888/81,131/728 = [GCF of 888,131]/[LCM of 81,728]= 1/58968

Therefore, the GCF of 888/81,131/728 is 1/58968.

Greatest Common Factor of 888,131

To find the highest common factor of 888,131, we have to find the factors of both numbers and list the highest common factor.

The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

The factors of 131 are 1, 131

The HCF of 888,131 is 1.

Lets's calculate GCF of 888,131

Greatest Common Factor (GCF) of 888,131 By Common Division

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

Greatest Common Factor of 888,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 888,131 By Matching Biggest Common Factor Method

Now, list down the factors of 888

:

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Now, list down the factors of 131

:

1,131

Greatest Common Factor

We found the factors 888,131 . The biggest common factor number is the GCF number.
So the greatest common factor 888,131 is 1.


Lets's calculate LCM of 81,728

Lowest Common Multiple of 81,728 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 58968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58968

Therefore, the GCF of Fractions 888/81,131/728 is 1/58968

Least Common Multiple of 81,728 with GCF Formula

Least Common Multiple of 81,728 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 81,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,728) = 1

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

GCF(81,728) x common factors =1 x 1 = 1

LCM(81,728) = ( 81 × 728 ) / 1

LCM(81,728) = 58968 / 1

LCM(81,728) = 58968


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 888/81, 131/728

1. What is the HCF of 888,131?

The HCF of 888,131 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 888/81, 131/728?

Answer: GCF of Numerators as per given numbers 888/81, 131/728 is

GCF of Numerators i.e. for 888,131 is 1

LCM of denominators i.e. for 81,728 is 58968.

Thus, GCF of Fractions is 1/58968.Finally, GCF of Fractions for 888/81, 131/728 is 1/58968.