How to Find GCF of 62/303, 17/305, 209/456?

GCF of 62/303, 17/305, 209/456

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 62/303, 17/305, 209/456 i.e 1/14047080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/303, 17/305, 209/456.

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 62/303,17/305,209/456?

Given fractions are 62/303,17/305,209/456

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 62/303,17/305,209/456, numerators are 62,17,209

Denominators are 303,305,456

The GCF of 62,17,209 is 1 .

LCM of 303,305,456 is 14047080.

The greatest common factor of 62/303,17/305,209/456 = [GCF of 62,17,209]/[LCM of 303,305,456]= 1/14047080

Therefore, the GCF of 62/303,17/305,209/456 is 1/14047080.

Greatest Common Factor of 62,17,209

To find the highest common factor of 62,17,209, we have to find the factors of both numbers and list the highest common factor.

The factors of 62 are 1, 2, 31, 62

The factors of 17 are 1, 17

The factors of 209 are 1, 11, 19, 209

The HCF of 62,17,209 is 1.

Lets's calculate GCF of 62,17,209

Greatest Common Factor (GCF) of 62,17,209 By Common Division

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

Greatest Common Factor of 62,17,209 By Matching Biggest Common Factor Method

Now, list down the factors of 62

1,2,31,62

Now, list down the factors of 17

1,17

Now, list down the factors of 209

1,11,19,209

Greatest Common Factor

We found the factors 62,17,209 . The biggest common factor number is the GCF number.
So the greatest common factor 62,17,209 is 1.

Lets's calculate LCM of 303,305,456

Lowest Common Multiple of 303,305,456 using Common Division

3	303, 305, 456
	101, 305, 152

∴ So the LCM of the given numbers is 3 x 101 x 305 x 152 = 14047080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14047080

Therefore, the GCF of Fractions 62/303,17/305,209/456 is 1/14047080

Least Common Multiple of 303,305,456 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 303,305,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(303,305,456) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(303,305,456) x common factors =1 x 3 = 3

LCM(303,305,456) = ( 303 × 305 × 456 ) / 3

LCM(303,305,456) = 42141240 / 3

LCM(303,305,456) = 14047080

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FAQs on GCF of Fractions of 62/303, 17/305, 209/456

1. What is the HCF of 62,17,209?

The HCF of 62,17,209 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 62/303, 17/305, 209/456?

Answer: GCF of Numerators as per given numbers 62/303, 17/305, 209/456 is

GCF of Numerators i.e. for 62,17,209 is 1

LCM of denominators i.e. for 303,305,456 is 14047080.

Thus, GCF of Fractions is 1/14047080.Finally, GCF of Fractions for 62/303, 17/305, 209/456 is 1/14047080.