How to Find GCF of 646/433, 1650/286?

GCF of 646/433, 1650/286

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 646/433, 1650/286 i.e 2/123838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 646/433, 1650/286.

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 646/433,1650/286?

Given fractions are 646/433,1650/286

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 646/433,1650/286, numerators are 646,1650

Denominators are 433,286

The GCF of 646,1650 is 2 .

LCM of 433,286 is 123838.

The greatest common factor of 646/433,1650/286 = [GCF of 646,1650]/[LCM of 433,286]= 2/123838

Therefore, the GCF of 646/433,1650/286 is 2/123838.

Greatest Common Factor of 646,1650

To find the highest common factor of 646,1650, we have to find the factors of both numbers and list the highest common factor.

The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646

The factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650

The HCF of 646,1650 is 2.

Lets's calculate GCF of 646,1650

Greatest Common Factor (GCF) of 646,1650 By Common Division

2	646, 1650
	323, 825

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

Greatest Common Factor of 646,1650 By Matching Biggest Common Factor Method

Now, list down the factors of 646

1,2,17,19,34,38,323,646

Now, list down the factors of 1650

1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,150,165,275,330,550,825,1650

Greatest Common Factor

We found the factors 646,1650 . The biggest common factor number is the GCF number.
So the greatest common factor 646,1650 is 2.

Lets's calculate LCM of 433,286

Lowest Common Multiple of 433,286 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 123838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/123838

Therefore, the GCF of Fractions 646/433,1650/286 is 2/123838

Least Common Multiple of 433,286 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 433,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(433,286) = 1

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

GCF(433,286) x common factors =1 x 1 = 1

LCM(433,286) = ( 433 × 286 ) / 1

LCM(433,286) = 123838 / 1

LCM(433,286) = 123838

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FAQs on GCF of Fractions of 646/433, 1650/286

1. What is the HCF of 646,1650?

The HCF of 646,1650 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 646/433, 1650/286?

Answer: GCF of Numerators as per given numbers 646/433, 1650/286 is

GCF of Numerators i.e. for 646,1650 is 2

LCM of denominators i.e. for 433,286 is 123838.

Thus, GCF of Fractions is 2/123838.Finally, GCF of Fractions for 646/433, 1650/286 is 2/123838.