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GCF of 206/195, 461/732

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 206/195, 461/732 i.e 1/47580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 206/195, 461/732.

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 206/195,461/732?

Given fractions are 206/195,461/732

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 206/195,461/732, numerators are 206,461

Denominators are 195,732

The GCF of 206,461 is 1 .

LCM of 195,732 is 47580.

The greatest common factor of 206/195,461/732 = [GCF of 206,461]/[LCM of 195,732]= 1/47580

Therefore, the GCF of 206/195,461/732 is 1/47580.

Greatest Common Factor of 206,461

To find the highest common factor of 206,461, we have to find the factors of both numbers and list the highest common factor.

The factors of 206 are 1, 2, 103, 206

The factors of 461 are 1, 461

The HCF of 206,461 is 1.

Lets's calculate GCF of 206,461

Greatest Common Factor (GCF) of 206,461 By Common Division

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

Greatest Common Factor of 206,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,461 By Matching Biggest Common Factor Method

Now, list down the factors of 206

:

1,2,103,206

Now, list down the factors of 461

:

1,461

Greatest Common Factor

We found the factors 206,461 . The biggest common factor number is the GCF number.
So the greatest common factor 206,461 is 1.

Lets's calculate LCM of 195,732

Lowest Common Multiple of 195,732 using Common Division

3 195, 732
65, 244

∴ So the LCM of the given numbers is 3 x 65 x 244 = 47580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47580

Therefore, the GCF of Fractions 206/195,461/732 is 1/47580

Least Common Multiple of 195,732 with GCF Formula

Least Common Multiple of 195,732 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 195,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,732) = 3

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

GCF(195,732) x common factors =3 x 1 = 3

LCM(195,732) = ( 195 × 732 ) / 3

LCM(195,732) = 142740 / 3

LCM(195,732) = 47580


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FAQs on GCF of Fractions of 206/195, 461/732

1. What is the HCF of 206,461?

The HCF of 206,461 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 206/195, 461/732?

Answer: GCF of Numerators as per given numbers 206/195, 461/732 is

GCF of Numerators i.e. for 206,461 is 1

LCM of denominators i.e. for 195,732 is 47580.

Thus, GCF of Fractions is 1/47580.Finally, GCF of Fractions for 206/195, 461/732 is 1/47580.