How to Find GCF of 6580/368, 3679/6116?

GCF of 6580/368, 3679/6116

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 6580/368, 3679/6116 i.e 1/562672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6580/368, 3679/6116.

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 6580/368,3679/6116?

Given fractions are 6580/368,3679/6116

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 6580/368,3679/6116, numerators are 6580,3679

Denominators are 368,6116

The GCF of 6580,3679 is 1 .

LCM of 368,6116 is 562672.

The greatest common factor of 6580/368,3679/6116 = [GCF of 6580,3679]/[LCM of 368,6116]= 1/562672

Therefore, the GCF of 6580/368,3679/6116 is 1/562672.

Greatest Common Factor of 6580,3679

To find the highest common factor of 6580,3679, we have to find the factors of both numbers and list the highest common factor.

The factors of 6580 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290, 6580

The factors of 3679 are 1, 13, 283, 3679

The HCF of 6580,3679 is 1.

Lets's calculate GCF of 6580,3679

Greatest Common Factor (GCF) of 6580,3679 By Common Division

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

Greatest Common Factor of 6580,3679 By Matching Biggest Common Factor Method

Now, list down the factors of 6580

1,2,4,5,7,10,14,20,28,35,47,70,94,140,188,235,329,470,658,940,1316,1645,3290,6580

Now, list down the factors of 3679

1,13,283,3679

Greatest Common Factor

We found the factors 6580,3679 . The biggest common factor number is the GCF number.
So the greatest common factor 6580,3679 is 1.

Lets's calculate LCM of 368,6116

Lowest Common Multiple of 368,6116 using Common Division

2	368, 6116
2	184, 3058
	92, 1529

∴ So the LCM of the given numbers is 2 x 2 x 92 x 1529 = 562672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/562672

Therefore, the GCF of Fractions 6580/368,3679/6116 is 1/562672

Least Common Multiple of 368,6116 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 368,6116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,6116) = 4

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

GCF(368,6116) x common factors =4 x 1 = 4

LCM(368,6116) = ( 368 × 6116 ) / 4

LCM(368,6116) = 2250688 / 4

LCM(368,6116) = 562672

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6580/368, 3679/6116

1. What is the HCF of 6580,3679?

The HCF of 6580,3679 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 6580/368, 3679/6116?

Answer: GCF of Numerators as per given numbers 6580/368, 3679/6116 is

GCF of Numerators i.e. for 6580,3679 is 1

LCM of denominators i.e. for 368,6116 is 562672.

Thus, GCF of Fractions is 1/562672.Finally, GCF of Fractions for 6580/368, 3679/6116 is 1/562672.