How to Find GCF of 4263/236, 1667/2049?

GCF of 4263/236, 1667/2049

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 4263/236, 1667/2049 i.e 1/483564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4263/236, 1667/2049.

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 4263/236,1667/2049?

Given fractions are 4263/236,1667/2049

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 4263/236,1667/2049, numerators are 4263,1667

Denominators are 236,2049

The GCF of 4263,1667 is 1 .

LCM of 236,2049 is 483564.

The greatest common factor of 4263/236,1667/2049 = [GCF of 4263,1667]/[LCM of 236,2049]= 1/483564

Therefore, the GCF of 4263/236,1667/2049 is 1/483564.

Greatest Common Factor of 4263,1667

To find the highest common factor of 4263,1667, we have to find the factors of both numbers and list the highest common factor.

The factors of 4263 are 1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421, 4263

The factors of 1667 are 1, 1667

The HCF of 4263,1667 is 1.

Lets's calculate GCF of 4263,1667

Greatest Common Factor (GCF) of 4263,1667 By Common Division

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

Greatest Common Factor of 4263,1667 By Matching Biggest Common Factor Method

Now, list down the factors of 4263

1,3,7,21,29,49,87,147,203,609,1421,4263

Now, list down the factors of 1667

1,1667

Greatest Common Factor

We found the factors 4263,1667 . The biggest common factor number is the GCF number.
So the greatest common factor 4263,1667 is 1.

Lets's calculate LCM of 236,2049

Lowest Common Multiple of 236,2049 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 483564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/483564

Therefore, the GCF of Fractions 4263/236,1667/2049 is 1/483564

Least Common Multiple of 236,2049 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 236,2049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,2049) = 1

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

GCF(236,2049) x common factors =1 x 1 = 1

LCM(236,2049) = ( 236 × 2049 ) / 1

LCM(236,2049) = 483564 / 1

LCM(236,2049) = 483564

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FAQs on GCF of Fractions of 4263/236, 1667/2049

1. What is the HCF of 4263,1667?

The HCF of 4263,1667 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 4263/236, 1667/2049?

Answer: GCF of Numerators as per given numbers 4263/236, 1667/2049 is

GCF of Numerators i.e. for 4263,1667 is 1

LCM of denominators i.e. for 236,2049 is 483564.

Thus, GCF of Fractions is 1/483564.Finally, GCF of Fractions for 4263/236, 1667/2049 is 1/483564.