How to Find GCF of 1423/308, 5986/606?

GCF of 1423/308, 5986/606

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 1423/308, 5986/606 i.e 1/93324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1423/308, 5986/606.

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 1423/308,5986/606?

Given fractions are 1423/308,5986/606

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 1423/308,5986/606, numerators are 1423,5986

Denominators are 308,606

The GCF of 1423,5986 is 1 .

LCM of 308,606 is 93324.

The greatest common factor of 1423/308,5986/606 = [GCF of 1423,5986]/[LCM of 308,606]= 1/93324

Therefore, the GCF of 1423/308,5986/606 is 1/93324.

Greatest Common Factor of 1423,5986

To find the highest common factor of 1423,5986, we have to find the factors of both numbers and list the highest common factor.

The factors of 1423 are 1, 1423

The factors of 5986 are 1, 2, 41, 73, 82, 146, 2993, 5986

The HCF of 1423,5986 is 1.

Lets's calculate GCF of 1423,5986

Greatest Common Factor (GCF) of 1423,5986 By Common Division

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

Greatest Common Factor of 1423,5986 By Matching Biggest Common Factor Method

Now, list down the factors of 1423

1,1423

Now, list down the factors of 5986

1,2,41,73,82,146,2993,5986

Greatest Common Factor

We found the factors 1423,5986 . The biggest common factor number is the GCF number.
So the greatest common factor 1423,5986 is 1.

Lets's calculate LCM of 308,606

Lowest Common Multiple of 308,606 using Common Division

2	308, 606
	154, 303

∴ So the LCM of the given numbers is 2 x 154 x 303 = 93324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93324

Therefore, the GCF of Fractions 1423/308,5986/606 is 1/93324

Least Common Multiple of 308,606 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 308,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,606) = 2

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

GCF(308,606) x common factors =2 x 1 = 2

LCM(308,606) = ( 308 × 606 ) / 2

LCM(308,606) = 186648 / 2

LCM(308,606) = 93324

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FAQs on GCF of Fractions of 1423/308, 5986/606

1. What is the HCF of 1423,5986?

The HCF of 1423,5986 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 1423/308, 5986/606?

Answer: GCF of Numerators as per given numbers 1423/308, 5986/606 is

GCF of Numerators i.e. for 1423,5986 is 1

LCM of denominators i.e. for 308,606 is 93324.

Thus, GCF of Fractions is 1/93324.Finally, GCF of Fractions for 1423/308, 5986/606 is 1/93324.