How to Find GCF of 6581/172, 6116/4670?

GCF of 6581/172, 6116/4670

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 6581/172, 6116/4670 i.e 1/401620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6581/172, 6116/4670.

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 6581/172,6116/4670?

Given fractions are 6581/172,6116/4670

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 6581/172,6116/4670, numerators are 6581,6116

Denominators are 172,4670

The GCF of 6581,6116 is 1 .

LCM of 172,4670 is 401620.

The greatest common factor of 6581/172,6116/4670 = [GCF of 6581,6116]/[LCM of 172,4670]= 1/401620

Therefore, the GCF of 6581/172,6116/4670 is 1/401620.

Greatest Common Factor of 6581,6116

To find the highest common factor of 6581,6116, we have to find the factors of both numbers and list the highest common factor.

The factors of 6581 are 1, 6581

The factors of 6116 are 1, 2, 4, 11, 22, 44, 139, 278, 556, 1529, 3058, 6116

The HCF of 6581,6116 is 1.

Lets's calculate GCF of 6581,6116

Greatest Common Factor (GCF) of 6581,6116 By Common Division

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

Greatest Common Factor of 6581,6116 By Matching Biggest Common Factor Method

Now, list down the factors of 6581

1,6581

Now, list down the factors of 6116

1,2,4,11,22,44,139,278,556,1529,3058,6116

Greatest Common Factor

We found the factors 6581,6116 . The biggest common factor number is the GCF number.
So the greatest common factor 6581,6116 is 1.

Lets's calculate LCM of 172,4670

Lowest Common Multiple of 172,4670 using Common Division

2	172, 4670
	86, 2335

∴ So the LCM of the given numbers is 2 x 86 x 2335 = 401620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401620

Therefore, the GCF of Fractions 6581/172,6116/4670 is 1/401620

Least Common Multiple of 172,4670 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 172,4670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,4670) = 2

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

GCF(172,4670) x common factors =2 x 1 = 2

LCM(172,4670) = ( 172 × 4670 ) / 2

LCM(172,4670) = 803240 / 2

LCM(172,4670) = 401620

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6581/172, 6116/4670

1. What is the HCF of 6581,6116?

The HCF of 6581,6116 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 6581/172, 6116/4670?

Answer: GCF of Numerators as per given numbers 6581/172, 6116/4670 is

GCF of Numerators i.e. for 6581,6116 is 1

LCM of denominators i.e. for 172,4670 is 401620.

Thus, GCF of Fractions is 1/401620.Finally, GCF of Fractions for 6581/172, 6116/4670 is 1/401620.