How to Find GCF of 2088/191, 8933/9363?

GCF of 2088/191, 8933/9363

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 2088/191, 8933/9363 i.e 1/1788333 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2088/191, 8933/9363.

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 2088/191,8933/9363?

Given fractions are 2088/191,8933/9363

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 2088/191,8933/9363, numerators are 2088,8933

Denominators are 191,9363

The GCF of 2088,8933 is 1 .

LCM of 191,9363 is 1788333.

The greatest common factor of 2088/191,8933/9363 = [GCF of 2088,8933]/[LCM of 191,9363]= 1/1788333

Therefore, the GCF of 2088/191,8933/9363 is 1/1788333.

Greatest Common Factor of 2088,8933

To find the highest common factor of 2088,8933, we have to find the factors of both numbers and list the highest common factor.

The factors of 2088 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 36, 58, 72, 87, 116, 174, 232, 261, 348, 522, 696, 1044, 2088

The factors of 8933 are 1, 8933

The HCF of 2088,8933 is 1.

Lets's calculate GCF of 2088,8933

Greatest Common Factor (GCF) of 2088,8933 By Common Division

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

Greatest Common Factor of 2088,8933 By Matching Biggest Common Factor Method

Now, list down the factors of 2088

1,2,3,4,6,8,9,12,18,24,29,36,58,72,87,116,174,232,261,348,522,696,1044,2088

Now, list down the factors of 8933

1,8933

Greatest Common Factor

We found the factors 2088,8933 . The biggest common factor number is the GCF number.
So the greatest common factor 2088,8933 is 1.

Lets's calculate LCM of 191,9363

Lowest Common Multiple of 191,9363 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1788333

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1788333

Therefore, the GCF of Fractions 2088/191,8933/9363 is 1/1788333

Least Common Multiple of 191,9363 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 191,9363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(191,9363) = 1

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

GCF(191,9363) x common factors =1 x 1 = 1

LCM(191,9363) = ( 191 × 9363 ) / 1

LCM(191,9363) = 1788333 / 1

LCM(191,9363) = 1788333

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FAQs on GCF of Fractions of 2088/191, 8933/9363

1. What is the HCF of 2088,8933?

The HCF of 2088,8933 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 2088/191, 8933/9363?

Answer: GCF of Numerators as per given numbers 2088/191, 8933/9363 is

GCF of Numerators i.e. for 2088,8933 is 1

LCM of denominators i.e. for 191,9363 is 1788333.

Thus, GCF of Fractions is 1/1788333.Finally, GCF of Fractions for 2088/191, 8933/9363 is 1/1788333.