How to Find GCF of 4647/933, 6179/6202?

GCF of 4647/933, 6179/6202

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 4647/933, 6179/6202 i.e 1/5786466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4647/933, 6179/6202.

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 4647/933,6179/6202?

Given fractions are 4647/933,6179/6202

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 4647/933,6179/6202, numerators are 4647,6179

Denominators are 933,6202

The GCF of 4647,6179 is 1 .

LCM of 933,6202 is 5786466.

The greatest common factor of 4647/933,6179/6202 = [GCF of 4647,6179]/[LCM of 933,6202]= 1/5786466

Therefore, the GCF of 4647/933,6179/6202 is 1/5786466.

Greatest Common Factor of 4647,6179

To find the highest common factor of 4647,6179, we have to find the factors of both numbers and list the highest common factor.

The factors of 4647 are 1, 3, 1549, 4647

The factors of 6179 are 1, 37, 167, 6179

The HCF of 4647,6179 is 1.

Lets's calculate GCF of 4647,6179

Greatest Common Factor (GCF) of 4647,6179 By Common Division

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

Greatest Common Factor of 4647,6179 By Matching Biggest Common Factor Method

Now, list down the factors of 4647

1,3,1549,4647

Now, list down the factors of 6179

1,37,167,6179

Greatest Common Factor

We found the factors 4647,6179 . The biggest common factor number is the GCF number.
So the greatest common factor 4647,6179 is 1.

Lets's calculate LCM of 933,6202

Lowest Common Multiple of 933,6202 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5786466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5786466

Therefore, the GCF of Fractions 4647/933,6179/6202 is 1/5786466

Least Common Multiple of 933,6202 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 933,6202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,6202) = 1

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

GCF(933,6202) x common factors =1 x 1 = 1

LCM(933,6202) = ( 933 × 6202 ) / 1

LCM(933,6202) = 5786466 / 1

LCM(933,6202) = 5786466

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FAQs on GCF of Fractions of 4647/933, 6179/6202

1. What is the HCF of 4647,6179?

The HCF of 4647,6179 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 4647/933, 6179/6202?

Answer: GCF of Numerators as per given numbers 4647/933, 6179/6202 is

GCF of Numerators i.e. for 4647,6179 is 1

LCM of denominators i.e. for 933,6202 is 5786466.

Thus, GCF of Fractions is 1/5786466.Finally, GCF of Fractions for 4647/933, 6179/6202 is 1/5786466.