How to Find GCF of 3925/233, 2433/9375?

GCF of 3925/233, 2433/9375

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 3925/233, 2433/9375 i.e 1/2184375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3925/233, 2433/9375.

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 3925/233,2433/9375?

Given fractions are 3925/233,2433/9375

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 3925/233,2433/9375, numerators are 3925,2433

Denominators are 233,9375

The GCF of 3925,2433 is 1 .

LCM of 233,9375 is 2184375.

The greatest common factor of 3925/233,2433/9375 = [GCF of 3925,2433]/[LCM of 233,9375]= 1/2184375

Therefore, the GCF of 3925/233,2433/9375 is 1/2184375.

Greatest Common Factor of 3925,2433

To find the highest common factor of 3925,2433, we have to find the factors of both numbers and list the highest common factor.

The factors of 3925 are 1, 5, 25, 157, 785, 3925

The factors of 2433 are 1, 3, 811, 2433

The HCF of 3925,2433 is 1.

Lets's calculate GCF of 3925,2433

Greatest Common Factor (GCF) of 3925,2433 By Common Division

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

Greatest Common Factor of 3925,2433 By Matching Biggest Common Factor Method

Now, list down the factors of 3925

1,5,25,157,785,3925

Now, list down the factors of 2433

1,3,811,2433

Greatest Common Factor

We found the factors 3925,2433 . The biggest common factor number is the GCF number.
So the greatest common factor 3925,2433 is 1.

Lets's calculate LCM of 233,9375

Lowest Common Multiple of 233,9375 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2184375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2184375

Therefore, the GCF of Fractions 3925/233,2433/9375 is 1/2184375

Least Common Multiple of 233,9375 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 233,9375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,9375) = 1

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

GCF(233,9375) x common factors =1 x 1 = 1

LCM(233,9375) = ( 233 × 9375 ) / 1

LCM(233,9375) = 2184375 / 1

LCM(233,9375) = 2184375

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FAQs on GCF of Fractions of 3925/233, 2433/9375

1. What is the HCF of 3925,2433?

The HCF of 3925,2433 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 3925/233, 2433/9375?

Answer: GCF of Numerators as per given numbers 3925/233, 2433/9375 is

GCF of Numerators i.e. for 3925,2433 is 1

LCM of denominators i.e. for 233,9375 is 2184375.

Thus, GCF of Fractions is 1/2184375.Finally, GCF of Fractions for 3925/233, 2433/9375 is 1/2184375.