How to Find GCF of 4213/404, 6246/179?

GCF of 4213/404, 6246/179

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 4213/404, 6246/179 i.e 1/72316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4213/404, 6246/179.

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 4213/404,6246/179?

Given fractions are 4213/404,6246/179

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 4213/404,6246/179, numerators are 4213,6246

Denominators are 404,179

The GCF of 4213,6246 is 1 .

LCM of 404,179 is 72316.

The greatest common factor of 4213/404,6246/179 = [GCF of 4213,6246]/[LCM of 404,179]= 1/72316

Therefore, the GCF of 4213/404,6246/179 is 1/72316.

Greatest Common Factor of 4213,6246

To find the highest common factor of 4213,6246, we have to find the factors of both numbers and list the highest common factor.

The factors of 4213 are 1, 11, 383, 4213

The factors of 6246 are 1, 2, 3, 6, 9, 18, 347, 694, 1041, 2082, 3123, 6246

The HCF of 4213,6246 is 1.

Lets's calculate GCF of 4213,6246

Greatest Common Factor (GCF) of 4213,6246 By Common Division

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

Greatest Common Factor of 4213,6246 By Matching Biggest Common Factor Method

Now, list down the factors of 4213

1,11,383,4213

Now, list down the factors of 6246

1,2,3,6,9,18,347,694,1041,2082,3123,6246

Greatest Common Factor

We found the factors 4213,6246 . The biggest common factor number is the GCF number.
So the greatest common factor 4213,6246 is 1.

Lets's calculate LCM of 404,179

Lowest Common Multiple of 404,179 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 72316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72316

Therefore, the GCF of Fractions 4213/404,6246/179 is 1/72316

Least Common Multiple of 404,179 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 404,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,179) = 1

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

GCF(404,179) x common factors =1 x 1 = 1

LCM(404,179) = ( 404 × 179 ) / 1

LCM(404,179) = 72316 / 1

LCM(404,179) = 72316

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FAQs on GCF of Fractions of 4213/404, 6246/179

1. What is the HCF of 4213,6246?

The HCF of 4213,6246 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 4213/404, 6246/179?

Answer: GCF of Numerators as per given numbers 4213/404, 6246/179 is

GCF of Numerators i.e. for 4213,6246 is 1

LCM of denominators i.e. for 404,179 is 72316.

Thus, GCF of Fractions is 1/72316.Finally, GCF of Fractions for 4213/404, 6246/179 is 1/72316.