How to Find GCF of 4322/182, 3043/2411?

GCF of 4322/182, 3043/2411

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 4322/182, 3043/2411 i.e 1/438802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4322/182, 3043/2411.

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 4322/182,3043/2411?

Given fractions are 4322/182,3043/2411

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 4322/182,3043/2411, numerators are 4322,3043

Denominators are 182,2411

The GCF of 4322,3043 is 1 .

LCM of 182,2411 is 438802.

The greatest common factor of 4322/182,3043/2411 = [GCF of 4322,3043]/[LCM of 182,2411]= 1/438802

Therefore, the GCF of 4322/182,3043/2411 is 1/438802.

Greatest Common Factor of 4322,3043

To find the highest common factor of 4322,3043, we have to find the factors of both numbers and list the highest common factor.

The factors of 4322 are 1, 2, 2161, 4322

The factors of 3043 are 1, 17, 179, 3043

The HCF of 4322,3043 is 1.

Lets's calculate GCF of 4322,3043

Greatest Common Factor (GCF) of 4322,3043 By Common Division

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

Greatest Common Factor of 4322,3043 By Matching Biggest Common Factor Method

Now, list down the factors of 4322

1,2,2161,4322

Now, list down the factors of 3043

1,17,179,3043

Greatest Common Factor

We found the factors 4322,3043 . The biggest common factor number is the GCF number.
So the greatest common factor 4322,3043 is 1.

Lets's calculate LCM of 182,2411

Lowest Common Multiple of 182,2411 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 438802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/438802

Therefore, the GCF of Fractions 4322/182,3043/2411 is 1/438802

Least Common Multiple of 182,2411 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 182,2411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,2411) = 1

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

GCF(182,2411) x common factors =1 x 1 = 1

LCM(182,2411) = ( 182 × 2411 ) / 1

LCM(182,2411) = 438802 / 1

LCM(182,2411) = 438802

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FAQs on GCF of Fractions of 4322/182, 3043/2411

1. What is the HCF of 4322,3043?

The HCF of 4322,3043 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 4322/182, 3043/2411?

Answer: GCF of Numerators as per given numbers 4322/182, 3043/2411 is

GCF of Numerators i.e. for 4322,3043 is 1

LCM of denominators i.e. for 182,2411 is 438802.

Thus, GCF of Fractions is 1/438802.Finally, GCF of Fractions for 4322/182, 3043/2411 is 1/438802.