LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 206/66, 322/574

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 206/66, 322/574 i.e 2/18942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 206/66, 322/574.

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 206/66,322/574?

Given fractions are 206/66,322/574

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 206/66,322/574, numerators are 206,322

Denominators are 66,574

The GCF of 206,322 is 2 .

LCM of 66,574 is 18942.

The greatest common factor of 206/66,322/574 = [GCF of 206,322]/[LCM of 66,574]= 2/18942

Therefore, the GCF of 206/66,322/574 is 2/18942.

Greatest Common Factor of 206,322

To find the highest common factor of 206,322, 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 322 are 1, 2, 7, 14, 23, 46, 161, 322

The HCF of 206,322 is 2.

Lets's calculate GCF of 206,322

Greatest Common Factor (GCF) of 206,322 By Common Division

2 206, 322
103, 161

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 206,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,322 By Matching Biggest Common Factor Method

Now, list down the factors of 206

:

1,2,103,206

Now, list down the factors of 322

:

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 206,322 . The biggest common factor number is the GCF number.
So the greatest common factor 206,322 is 2.

Lets's calculate LCM of 66,574

Lowest Common Multiple of 66,574 using Common Division

2 66, 574
33, 287

∴ So the LCM of the given numbers is 2 x 33 x 287 = 18942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18942

Therefore, the GCF of Fractions 206/66,322/574 is 2/18942

Least Common Multiple of 66,574 with GCF Formula

Least Common Multiple of 66,574 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 66,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,574) = 2

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

GCF(66,574) x common factors =2 x 1 = 2

LCM(66,574) = ( 66 × 574 ) / 2

LCM(66,574) = 37884 / 2

LCM(66,574) = 18942


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 206/66, 322/574

1. What is the HCF of 206,322?

The HCF of 206,322 is 2

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 206/66, 322/574?

Answer: GCF of Numerators as per given numbers 206/66, 322/574 is

GCF of Numerators i.e. for 206,322 is 2

LCM of denominators i.e. for 66,574 is 18942.

Thus, GCF of Fractions is 2/18942.Finally, GCF of Fractions for 206/66, 322/574 is 2/18942.