How to Find GCF of 3458/192, 4831/406?

GCF of 3458/192, 4831/406

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 3458/192, 4831/406 i.e 1/38976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3458/192, 4831/406.

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 3458/192,4831/406?

Given fractions are 3458/192,4831/406

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 3458/192,4831/406, numerators are 3458,4831

Denominators are 192,406

The GCF of 3458,4831 is 1 .

LCM of 192,406 is 38976.

The greatest common factor of 3458/192,4831/406 = [GCF of 3458,4831]/[LCM of 192,406]= 1/38976

Therefore, the GCF of 3458/192,4831/406 is 1/38976.

Greatest Common Factor of 3458,4831

To find the highest common factor of 3458,4831, we have to find the factors of both numbers and list the highest common factor.

The factors of 3458 are 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458

The factors of 4831 are 1, 4831

The HCF of 3458,4831 is 1.

Lets's calculate GCF of 3458,4831

Greatest Common Factor (GCF) of 3458,4831 By Common Division

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

Greatest Common Factor of 3458,4831 By Matching Biggest Common Factor Method

Now, list down the factors of 3458

1,2,7,13,14,19,26,38,91,133,182,247,266,494,1729,3458

Now, list down the factors of 4831

1,4831

Greatest Common Factor

We found the factors 3458,4831 . The biggest common factor number is the GCF number.
So the greatest common factor 3458,4831 is 1.

Lets's calculate LCM of 192,406

Lowest Common Multiple of 192,406 using Common Division

2	192, 406
	96, 203

∴ So the LCM of the given numbers is 2 x 96 x 203 = 38976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38976

Therefore, the GCF of Fractions 3458/192,4831/406 is 1/38976

Least Common Multiple of 192,406 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 192,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,406) = 2

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

GCF(192,406) x common factors =2 x 1 = 2

LCM(192,406) = ( 192 × 406 ) / 2

LCM(192,406) = 77952 / 2

LCM(192,406) = 38976

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FAQs on GCF of Fractions of 3458/192, 4831/406

1. What is the HCF of 3458,4831?

The HCF of 3458,4831 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 3458/192, 4831/406?

Answer: GCF of Numerators as per given numbers 3458/192, 4831/406 is

GCF of Numerators i.e. for 3458,4831 is 1

LCM of denominators i.e. for 192,406 is 38976.

Thus, GCF of Fractions is 1/38976.Finally, GCF of Fractions for 3458/192, 4831/406 is 1/38976.