How to Find GCF of 4057/704, 4308/4368?

GCF of 4057/704, 4308/4368

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 4057/704, 4308/4368 i.e 1/192192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4057/704, 4308/4368.

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 4057/704,4308/4368?

Given fractions are 4057/704,4308/4368

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 4057/704,4308/4368, numerators are 4057,4308

Denominators are 704,4368

The GCF of 4057,4308 is 1 .

LCM of 704,4368 is 192192.

The greatest common factor of 4057/704,4308/4368 = [GCF of 4057,4308]/[LCM of 704,4368]= 1/192192

Therefore, the GCF of 4057/704,4308/4368 is 1/192192.

Greatest Common Factor of 4057,4308

To find the highest common factor of 4057,4308, we have to find the factors of both numbers and list the highest common factor.

The factors of 4057 are 1, 4057

The factors of 4308 are 1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154, 4308

The HCF of 4057,4308 is 1.

Lets's calculate GCF of 4057,4308

Greatest Common Factor (GCF) of 4057,4308 By Common Division

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

Greatest Common Factor of 4057,4308 By Matching Biggest Common Factor Method

Now, list down the factors of 4057

1,4057

Now, list down the factors of 4308

1,2,3,4,6,12,359,718,1077,1436,2154,4308

Greatest Common Factor

We found the factors 4057,4308 . The biggest common factor number is the GCF number.
So the greatest common factor 4057,4308 is 1.

Lets's calculate LCM of 704,4368

Lowest Common Multiple of 704,4368 using Common Division

2	704, 4368
2	352, 2184
2	176, 1092
2	88, 546
	44, 273

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 44 x 273 = 192192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192192

Therefore, the GCF of Fractions 4057/704,4308/4368 is 1/192192

Least Common Multiple of 704,4368 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 704,4368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,4368) = 16

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

GCF(704,4368) x common factors =16 x 1 = 16

LCM(704,4368) = ( 704 × 4368 ) / 16

LCM(704,4368) = 3075072 / 16

LCM(704,4368) = 192192

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FAQs on GCF of Fractions of 4057/704, 4308/4368

1. What is the HCF of 4057,4308?

The HCF of 4057,4308 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 4057/704, 4308/4368?

Answer: GCF of Numerators as per given numbers 4057/704, 4308/4368 is

GCF of Numerators i.e. for 4057,4308 is 1

LCM of denominators i.e. for 704,4368 is 192192.

Thus, GCF of Fractions is 1/192192.Finally, GCF of Fractions for 4057/704, 4308/4368 is 1/192192.