How to Find GCF of 7187/538, 6489/8182?

GCF of 7187/538, 6489/8182

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 7187/538, 6489/8182 i.e 1/2200958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7187/538, 6489/8182.

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 7187/538,6489/8182?

Given fractions are 7187/538,6489/8182

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 7187/538,6489/8182, numerators are 7187,6489

Denominators are 538,8182

The GCF of 7187,6489 is 1 .

LCM of 538,8182 is 2200958.

The greatest common factor of 7187/538,6489/8182 = [GCF of 7187,6489]/[LCM of 538,8182]= 1/2200958

Therefore, the GCF of 7187/538,6489/8182 is 1/2200958.

Greatest Common Factor of 7187,6489

To find the highest common factor of 7187,6489, we have to find the factors of both numbers and list the highest common factor.

The factors of 7187 are 1, 7187

The factors of 6489 are 1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163, 6489

The HCF of 7187,6489 is 1.

Lets's calculate GCF of 7187,6489

Greatest Common Factor (GCF) of 7187,6489 By Common Division

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

Greatest Common Factor of 7187,6489 By Matching Biggest Common Factor Method

Now, list down the factors of 7187

1,7187

Now, list down the factors of 6489

1,3,7,9,21,63,103,309,721,927,2163,6489

Greatest Common Factor

We found the factors 7187,6489 . The biggest common factor number is the GCF number.
So the greatest common factor 7187,6489 is 1.

Lets's calculate LCM of 538,8182

Lowest Common Multiple of 538,8182 using Common Division

2	538, 8182
	269, 4091

∴ So the LCM of the given numbers is 2 x 269 x 4091 = 2200958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2200958

Therefore, the GCF of Fractions 7187/538,6489/8182 is 1/2200958

Least Common Multiple of 538,8182 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 538,8182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,8182) = 2

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

GCF(538,8182) x common factors =2 x 1 = 2

LCM(538,8182) = ( 538 × 8182 ) / 2

LCM(538,8182) = 4401916 / 2

LCM(538,8182) = 2200958

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FAQs on GCF of Fractions of 7187/538, 6489/8182

1. What is the HCF of 7187,6489?

The HCF of 7187,6489 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 7187/538, 6489/8182?

Answer: GCF of Numerators as per given numbers 7187/538, 6489/8182 is

GCF of Numerators i.e. for 7187,6489 is 1

LCM of denominators i.e. for 538,8182 is 2200958.

Thus, GCF of Fractions is 1/2200958.Finally, GCF of Fractions for 7187/538, 6489/8182 is 1/2200958.