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GCF of 9187/989, 6587/146

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 9187/989, 6587/146 i.e 1/144394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9187/989, 6587/146.

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 9187/989,6587/146?

Given fractions are 9187/989,6587/146

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 9187/989,6587/146, numerators are 9187,6587

Denominators are 989,146

The GCF of 9187,6587 is 1 .

LCM of 989,146 is 144394.

The greatest common factor of 9187/989,6587/146 = [GCF of 9187,6587]/[LCM of 989,146]= 1/144394

Therefore, the GCF of 9187/989,6587/146 is 1/144394.

Greatest Common Factor of 9187,6587

To find the highest common factor of 9187,6587, we have to find the factors of both numbers and list the highest common factor.

The factors of 9187 are 1, 9187

The factors of 6587 are 1, 7, 941, 6587

The HCF of 9187,6587 is 1.

Lets's calculate GCF of 9187,6587

Greatest Common Factor (GCF) of 9187,6587 By Common Division

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

Greatest Common Factor of 9187,6587 By Matching Biggest Common Factor Method

Greatest Common Factor of 9187,6587 By Matching Biggest Common Factor Method

Now, list down the factors of 9187

:

1,9187

Now, list down the factors of 6587

:

1,7,941,6587

Greatest Common Factor

We found the factors 9187,6587 . The biggest common factor number is the GCF number.
So the greatest common factor 9187,6587 is 1.

Lets's calculate LCM of 989,146

Lowest Common Multiple of 989,146 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 144394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144394

Therefore, the GCF of Fractions 9187/989,6587/146 is 1/144394

Least Common Multiple of 989,146 with GCF Formula

Least Common Multiple of 989,146 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 989,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,146) = 1

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

GCF(989,146) x common factors =1 x 1 = 1

LCM(989,146) = ( 989 × 146 ) / 1

LCM(989,146) = 144394 / 1

LCM(989,146) = 144394


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FAQs on GCF of Fractions of 9187/989, 6587/146

1. What is the HCF of 9187,6587?

The HCF of 9187,6587 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 9187/989, 6587/146?

Answer: GCF of Numerators as per given numbers 9187/989, 6587/146 is

GCF of Numerators i.e. for 9187,6587 is 1

LCM of denominators i.e. for 989,146 is 144394.

Thus, GCF of Fractions is 1/144394.Finally, GCF of Fractions for 9187/989, 6587/146 is 1/144394.