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GCF of 8187/758, 3673/5868

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 8187/758, 3673/5868 i.e 1/2223972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8187/758, 3673/5868.

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 8187/758,3673/5868?

Given fractions are 8187/758,3673/5868

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 8187/758,3673/5868, numerators are 8187,3673

Denominators are 758,5868

The GCF of 8187,3673 is 1 .

LCM of 758,5868 is 2223972.

The greatest common factor of 8187/758,3673/5868 = [GCF of 8187,3673]/[LCM of 758,5868]= 1/2223972

Therefore, the GCF of 8187/758,3673/5868 is 1/2223972.

Greatest Common Factor of 8187,3673

To find the highest common factor of 8187,3673, we have to find the factors of both numbers and list the highest common factor.

The factors of 8187 are 1, 3, 2729, 8187

The factors of 3673 are 1, 3673

The HCF of 8187,3673 is 1.

Lets's calculate GCF of 8187,3673

Greatest Common Factor (GCF) of 8187,3673 By Common Division

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

Greatest Common Factor of 8187,3673 By Matching Biggest Common Factor Method

Greatest Common Factor of 8187,3673 By Matching Biggest Common Factor Method

Now, list down the factors of 8187

:

1,3,2729,8187

Now, list down the factors of 3673

:

1,3673

Greatest Common Factor

We found the factors 8187,3673 . The biggest common factor number is the GCF number.
So the greatest common factor 8187,3673 is 1.

Lets's calculate LCM of 758,5868

Lowest Common Multiple of 758,5868 using Common Division

2 758, 5868
379, 2934

∴ So the LCM of the given numbers is 2 x 379 x 2934 = 2223972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2223972

Therefore, the GCF of Fractions 8187/758,3673/5868 is 1/2223972

Least Common Multiple of 758,5868 with GCF Formula

Least Common Multiple of 758,5868 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 758,5868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,5868) = 2

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

GCF(758,5868) x common factors =2 x 1 = 2

LCM(758,5868) = ( 758 × 5868 ) / 2

LCM(758,5868) = 4447944 / 2

LCM(758,5868) = 2223972


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8187/758, 3673/5868

1. What is the HCF of 8187,3673?

The HCF of 8187,3673 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 8187/758, 3673/5868?

Answer: GCF of Numerators as per given numbers 8187/758, 3673/5868 is

GCF of Numerators i.e. for 8187,3673 is 1

LCM of denominators i.e. for 758,5868 is 2223972.

Thus, GCF of Fractions is 1/2223972.Finally, GCF of Fractions for 8187/758, 3673/5868 is 1/2223972.