How to Find GCF of 206/533, 2373/166?

GCF of 206/533, 2373/166

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 206/533, 2373/166 i.e 1/88478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 206/533, 2373/166.

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 206/533,2373/166?

Given fractions are 206/533,2373/166

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 206/533,2373/166, numerators are 206,2373

Denominators are 533,166

The GCF of 206,2373 is 1 .

LCM of 533,166 is 88478.

The greatest common factor of 206/533,2373/166 = [GCF of 206,2373]/[LCM of 533,166]= 1/88478

Therefore, the GCF of 206/533,2373/166 is 1/88478.

Greatest Common Factor of 206,2373

To find the highest common factor of 206,2373, 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 2373 are 1, 3, 7, 21, 113, 339, 791, 2373

The HCF of 206,2373 is 1.

Lets's calculate GCF of 206,2373

Greatest Common Factor (GCF) of 206,2373 By Common Division

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

Greatest Common Factor of 206,2373 By Matching Biggest Common Factor Method

Now, list down the factors of 206

1,2,103,206

Now, list down the factors of 2373

1,3,7,21,113,339,791,2373

Greatest Common Factor

We found the factors 206,2373 . The biggest common factor number is the GCF number.
So the greatest common factor 206,2373 is 1.

Lets's calculate LCM of 533,166

Lowest Common Multiple of 533,166 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 88478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88478

Therefore, the GCF of Fractions 206/533,2373/166 is 1/88478

Least Common Multiple of 533,166 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 533,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,166) = 1

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

GCF(533,166) x common factors =1 x 1 = 1

LCM(533,166) = ( 533 × 166 ) / 1

LCM(533,166) = 88478 / 1

LCM(533,166) = 88478

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FAQs on GCF of Fractions of 206/533, 2373/166

1. What is the HCF of 206,2373?

The HCF of 206,2373 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 206/533, 2373/166?

Answer: GCF of Numerators as per given numbers 206/533, 2373/166 is

GCF of Numerators i.e. for 206,2373 is 1

LCM of denominators i.e. for 533,166 is 88478.

Thus, GCF of Fractions is 1/88478.Finally, GCF of Fractions for 206/533, 2373/166 is 1/88478.