How to Find GCF of 6333/215, 2483/4637?

GCF of 6333/215, 2483/4637

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 6333/215, 2483/4637 i.e 1/996955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6333/215, 2483/4637.

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 6333/215,2483/4637?

Given fractions are 6333/215,2483/4637

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 6333/215,2483/4637, numerators are 6333,2483

Denominators are 215,4637

The GCF of 6333,2483 is 1 .

LCM of 215,4637 is 996955.

The greatest common factor of 6333/215,2483/4637 = [GCF of 6333,2483]/[LCM of 215,4637]= 1/996955

Therefore, the GCF of 6333/215,2483/4637 is 1/996955.

Greatest Common Factor of 6333,2483

To find the highest common factor of 6333,2483, we have to find the factors of both numbers and list the highest common factor.

The factors of 6333 are 1, 3, 2111, 6333

The factors of 2483 are 1, 13, 191, 2483

The HCF of 6333,2483 is 1.

Lets's calculate GCF of 6333,2483

Greatest Common Factor (GCF) of 6333,2483 By Common Division

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

Greatest Common Factor of 6333,2483 By Matching Biggest Common Factor Method

Now, list down the factors of 6333

1,3,2111,6333

Now, list down the factors of 2483

1,13,191,2483

Greatest Common Factor

We found the factors 6333,2483 . The biggest common factor number is the GCF number.
So the greatest common factor 6333,2483 is 1.

Lets's calculate LCM of 215,4637

Lowest Common Multiple of 215,4637 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 996955

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/996955

Therefore, the GCF of Fractions 6333/215,2483/4637 is 1/996955

Least Common Multiple of 215,4637 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 215,4637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,4637) = 1

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

GCF(215,4637) x common factors =1 x 1 = 1

LCM(215,4637) = ( 215 × 4637 ) / 1

LCM(215,4637) = 996955 / 1

LCM(215,4637) = 996955

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FAQs on GCF of Fractions of 6333/215, 2483/4637

1. What is the HCF of 6333,2483?

The HCF of 6333,2483 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 6333/215, 2483/4637?

Answer: GCF of Numerators as per given numbers 6333/215, 2483/4637 is

GCF of Numerators i.e. for 6333,2483 is 1

LCM of denominators i.e. for 215,4637 is 996955.

Thus, GCF of Fractions is 1/996955.Finally, GCF of Fractions for 6333/215, 2483/4637 is 1/996955.