How to Find GCF of 8927/271, 8991/300?

GCF of 8927/271, 8991/300

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 8927/271, 8991/300 i.e 1/81300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8927/271, 8991/300.

Enter two or more fractions separated by "commas"

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

What is the GCF of 8927/271,8991/300?

Given fractions are 8927/271,8991/300

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 8927/271,8991/300, numerators are 8927,8991

Denominators are 271,300

The GCF of 8927,8991 is 1 .

LCM of 271,300 is 81300.

The greatest common factor of 8927/271,8991/300 = [GCF of 8927,8991]/[LCM of 271,300]= 1/81300

Therefore, the GCF of 8927/271,8991/300 is 1/81300.

Greatest Common Factor of 8927,8991

To find the highest common factor of 8927,8991, we have to find the factors of both numbers and list the highest common factor.

The factors of 8927 are 1, 79, 113, 8927

The factors of 8991 are 1, 3, 9, 27, 37, 81, 111, 243, 333, 999, 2997, 8991

The HCF of 8927,8991 is 1.

Lets's calculate GCF of 8927,8991

Greatest Common Factor (GCF) of 8927,8991 By Common Division

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

Greatest Common Factor of 8927,8991 By Matching Biggest Common Factor Method

Now, list down the factors of 8927

1,79,113,8927

Now, list down the factors of 8991

1,3,9,27,37,81,111,243,333,999,2997,8991

Greatest Common Factor

We found the factors 8927,8991 . The biggest common factor number is the GCF number.
So the greatest common factor 8927,8991 is 1.

Lets's calculate LCM of 271,300

Lowest Common Multiple of 271,300 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 81300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81300

Therefore, the GCF of Fractions 8927/271,8991/300 is 1/81300

Least Common Multiple of 271,300 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 271,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,300) = 1

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

GCF(271,300) x common factors =1 x 1 = 1

LCM(271,300) = ( 271 × 300 ) / 1

LCM(271,300) = 81300 / 1

LCM(271,300) = 81300

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FAQs on GCF of Fractions of 8927/271, 8991/300

1. What is the HCF of 8927,8991?

The HCF of 8927,8991 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 8927/271, 8991/300?

Answer: GCF of Numerators as per given numbers 8927/271, 8991/300 is

GCF of Numerators i.e. for 8927,8991 is 1

LCM of denominators i.e. for 271,300 is 81300.

Thus, GCF of Fractions is 1/81300.Finally, GCF of Fractions for 8927/271, 8991/300 is 1/81300.