How to Find GCF of 8751/191, 5746/9075?

GCF of 8751/191, 5746/9075

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 8751/191, 5746/9075 i.e 1/1733325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8751/191, 5746/9075.

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 8751/191,5746/9075?

Given fractions are 8751/191,5746/9075

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 8751/191,5746/9075, numerators are 8751,5746

Denominators are 191,9075

The GCF of 8751,5746 is 1 .

LCM of 191,9075 is 1733325.

The greatest common factor of 8751/191,5746/9075 = [GCF of 8751,5746]/[LCM of 191,9075]= 1/1733325

Therefore, the GCF of 8751/191,5746/9075 is 1/1733325.

Greatest Common Factor of 8751,5746

To find the highest common factor of 8751,5746, we have to find the factors of both numbers and list the highest common factor.

The factors of 8751 are 1, 3, 2917, 8751

The factors of 5746 are 1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746

The HCF of 8751,5746 is 1.

Lets's calculate GCF of 8751,5746

Greatest Common Factor (GCF) of 8751,5746 By Common Division

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

Greatest Common Factor of 8751,5746 By Matching Biggest Common Factor Method

Now, list down the factors of 8751

1,3,2917,8751

Now, list down the factors of 5746

1,2,13,17,26,34,169,221,338,442,2873,5746

Greatest Common Factor

We found the factors 8751,5746 . The biggest common factor number is the GCF number.
So the greatest common factor 8751,5746 is 1.

Lets's calculate LCM of 191,9075

Lowest Common Multiple of 191,9075 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1733325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1733325

Therefore, the GCF of Fractions 8751/191,5746/9075 is 1/1733325

Least Common Multiple of 191,9075 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 191,9075 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(191,9075) = 1

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

GCF(191,9075) x common factors =1 x 1 = 1

LCM(191,9075) = ( 191 × 9075 ) / 1

LCM(191,9075) = 1733325 / 1

LCM(191,9075) = 1733325

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8751/191, 5746/9075

1. What is the HCF of 8751,5746?

The HCF of 8751,5746 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 8751/191, 5746/9075?

Answer: GCF of Numerators as per given numbers 8751/191, 5746/9075 is

GCF of Numerators i.e. for 8751,5746 is 1

LCM of denominators i.e. for 191,9075 is 1733325.

Thus, GCF of Fractions is 1/1733325.Finally, GCF of Fractions for 8751/191, 5746/9075 is 1/1733325.