How to Find GCF of 2307/384, 4273/3452?

GCF of 2307/384, 4273/3452

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 2307/384, 4273/3452 i.e 1/331392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2307/384, 4273/3452.

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 2307/384,4273/3452?

Given fractions are 2307/384,4273/3452

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 2307/384,4273/3452, numerators are 2307,4273

Denominators are 384,3452

The GCF of 2307,4273 is 1 .

LCM of 384,3452 is 331392.

The greatest common factor of 2307/384,4273/3452 = [GCF of 2307,4273]/[LCM of 384,3452]= 1/331392

Therefore, the GCF of 2307/384,4273/3452 is 1/331392.

Greatest Common Factor of 2307,4273

To find the highest common factor of 2307,4273, we have to find the factors of both numbers and list the highest common factor.

The factors of 2307 are 1, 3, 769, 2307

The factors of 4273 are 1, 4273

The HCF of 2307,4273 is 1.

Lets's calculate GCF of 2307,4273

Greatest Common Factor (GCF) of 2307,4273 By Common Division

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

Greatest Common Factor of 2307,4273 By Matching Biggest Common Factor Method

Now, list down the factors of 2307

1,3,769,2307

Now, list down the factors of 4273

1,4273

Greatest Common Factor

We found the factors 2307,4273 . The biggest common factor number is the GCF number.
So the greatest common factor 2307,4273 is 1.

Lets's calculate LCM of 384,3452

Lowest Common Multiple of 384,3452 using Common Division

2	384, 3452
2	192, 1726
	96, 863

∴ So the LCM of the given numbers is 2 x 2 x 96 x 863 = 331392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331392

Therefore, the GCF of Fractions 2307/384,4273/3452 is 1/331392

Least Common Multiple of 384,3452 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 384,3452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,3452) = 4

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

GCF(384,3452) x common factors =4 x 1 = 4

LCM(384,3452) = ( 384 × 3452 ) / 4

LCM(384,3452) = 1325568 / 4

LCM(384,3452) = 331392

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FAQs on GCF of Fractions of 2307/384, 4273/3452

1. What is the HCF of 2307,4273?

The HCF of 2307,4273 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 2307/384, 4273/3452?

Answer: GCF of Numerators as per given numbers 2307/384, 4273/3452 is

GCF of Numerators i.e. for 2307,4273 is 1

LCM of denominators i.e. for 384,3452 is 331392.

Thus, GCF of Fractions is 1/331392.Finally, GCF of Fractions for 2307/384, 4273/3452 is 1/331392.