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 446/204, 274/689

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 446/204, 274/689 i.e 2/140556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 446/204, 274/689.

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 446/204,274/689?

Given fractions are 446/204,274/689

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 446/204,274/689, numerators are 446,274

Denominators are 204,689

The GCF of 446,274 is 2 .

LCM of 204,689 is 140556.

The greatest common factor of 446/204,274/689 = [GCF of 446,274]/[LCM of 204,689]= 2/140556

Therefore, the GCF of 446/204,274/689 is 2/140556.

Greatest Common Factor of 446,274

To find the highest common factor of 446,274, we have to find the factors of both numbers and list the highest common factor.

The factors of 446 are 1, 2, 223, 446

The factors of 274 are 1, 2, 137, 274

The HCF of 446,274 is 2.

Lets's calculate GCF of 446,274

Greatest Common Factor (GCF) of 446,274 By Common Division

2 446, 274
223, 137

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

Greatest Common Factor of 446,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,274 By Matching Biggest Common Factor Method

Now, list down the factors of 446

:

1,2,223,446

Now, list down the factors of 274

:

1,2,137,274

Greatest Common Factor

We found the factors 446,274 . The biggest common factor number is the GCF number.
So the greatest common factor 446,274 is 2.

Lets's calculate LCM of 204,689

Lowest Common Multiple of 204,689 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 140556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/140556

Therefore, the GCF of Fractions 446/204,274/689 is 2/140556

Least Common Multiple of 204,689 with GCF Formula

Least Common Multiple of 204,689 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 204,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,689) = 1

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

GCF(204,689) x common factors =1 x 1 = 1

LCM(204,689) = ( 204 × 689 ) / 1

LCM(204,689) = 140556 / 1

LCM(204,689) = 140556


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 446/204, 274/689

1. What is the HCF of 446,274?

The HCF of 446,274 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 446/204, 274/689?

Answer: GCF of Numerators as per given numbers 446/204, 274/689 is

GCF of Numerators i.e. for 446,274 is 2

LCM of denominators i.e. for 204,689 is 140556.

Thus, GCF of Fractions is 2/140556.Finally, GCF of Fractions for 446/204, 274/689 is 2/140556.