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GCF of 181/6610, 345/3604

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 181/6610, 345/3604 i.e 1/11911220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 181/6610, 345/3604.

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 181/6610,345/3604?

Given fractions are 181/6610,345/3604

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 181/6610,345/3604, numerators are 181,345

Denominators are 6610,3604

The GCF of 181,345 is 1 .

LCM of 6610,3604 is 11911220.

The greatest common factor of 181/6610,345/3604 = [GCF of 181,345]/[LCM of 6610,3604]= 1/11911220

Therefore, the GCF of 181/6610,345/3604 is 1/11911220.

Greatest Common Factor of 181,345

To find the highest common factor of 181,345, we have to find the factors of both numbers and list the highest common factor.

The factors of 181 are 1, 181

The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345

The HCF of 181,345 is 1.

Lets's calculate GCF of 181,345

Greatest Common Factor (GCF) of 181,345 By Common Division

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

Greatest Common Factor of 181,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 181,345 By Matching Biggest Common Factor Method

Now, list down the factors of 181

:

1,181

Now, list down the factors of 345

:

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 181,345 . The biggest common factor number is the GCF number.
So the greatest common factor 181,345 is 1.

Lets's calculate LCM of 6610,3604

Lowest Common Multiple of 6610,3604 using Common Division

2 6610, 3604
3305, 1802

∴ So the LCM of the given numbers is 2 x 3305 x 1802 = 11911220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11911220

Therefore, the GCF of Fractions 181/6610,345/3604 is 1/11911220

Least Common Multiple of 6610,3604 with GCF Formula

Least Common Multiple of 6610,3604 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 6610,3604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6610,3604) = 2

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

GCF(6610,3604) x common factors =2 x 1 = 2

LCM(6610,3604) = ( 6610 × 3604 ) / 2

LCM(6610,3604) = 23822440 / 2

LCM(6610,3604) = 11911220


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FAQs on GCF of Fractions of 181/6610, 345/3604

1. What is the HCF of 181,345?

The HCF of 181,345 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 181/6610, 345/3604?

Answer: GCF of Numerators as per given numbers 181/6610, 345/3604 is

GCF of Numerators i.e. for 181,345 is 1

LCM of denominators i.e. for 6610,3604 is 11911220.

Thus, GCF of Fractions is 1/11911220.Finally, GCF of Fractions for 181/6610, 345/3604 is 1/11911220.