How to Find GCF of 4199/940, 3431/1464?

GCF of 4199/940, 3431/1464

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 4199/940, 3431/1464 i.e 1/344040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4199/940, 3431/1464.

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 4199/940,3431/1464?

Given fractions are 4199/940,3431/1464

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 4199/940,3431/1464, numerators are 4199,3431

Denominators are 940,1464

The GCF of 4199,3431 is 1 .

LCM of 940,1464 is 344040.

The greatest common factor of 4199/940,3431/1464 = [GCF of 4199,3431]/[LCM of 940,1464]= 1/344040

Therefore, the GCF of 4199/940,3431/1464 is 1/344040.

Greatest Common Factor of 4199,3431

To find the highest common factor of 4199,3431, we have to find the factors of both numbers and list the highest common factor.

The factors of 4199 are 1, 13, 17, 19, 221, 247, 323, 4199

The factors of 3431 are 1, 47, 73, 3431

The HCF of 4199,3431 is 1.

Lets's calculate GCF of 4199,3431

Greatest Common Factor (GCF) of 4199,3431 By Common Division

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

Greatest Common Factor of 4199,3431 By Matching Biggest Common Factor Method

Now, list down the factors of 4199

1,13,17,19,221,247,323,4199

Now, list down the factors of 3431

1,47,73,3431

Greatest Common Factor

We found the factors 4199,3431 . The biggest common factor number is the GCF number.
So the greatest common factor 4199,3431 is 1.

Lets's calculate LCM of 940,1464

Lowest Common Multiple of 940,1464 using Common Division

2	940, 1464
2	470, 732
	235, 366

∴ So the LCM of the given numbers is 2 x 2 x 235 x 366 = 344040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344040

Therefore, the GCF of Fractions 4199/940,3431/1464 is 1/344040

Least Common Multiple of 940,1464 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 940,1464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,1464) = 4

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

GCF(940,1464) x common factors =4 x 1 = 4

LCM(940,1464) = ( 940 × 1464 ) / 4

LCM(940,1464) = 1376160 / 4

LCM(940,1464) = 344040

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FAQs on GCF of Fractions of 4199/940, 3431/1464

1. What is the HCF of 4199,3431?

The HCF of 4199,3431 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 4199/940, 3431/1464?

Answer: GCF of Numerators as per given numbers 4199/940, 3431/1464 is

GCF of Numerators i.e. for 4199,3431 is 1

LCM of denominators i.e. for 940,1464 is 344040.

Thus, GCF of Fractions is 1/344040.Finally, GCF of Fractions for 4199/940, 3431/1464 is 1/344040.