How to Find GCF of 9383/184, 3475/212?

GCF of 9383/184, 3475/212

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 9383/184, 3475/212 i.e 1/9752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9383/184, 3475/212.

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 9383/184,3475/212?

Given fractions are 9383/184,3475/212

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 9383/184,3475/212, numerators are 9383,3475

Denominators are 184,212

The GCF of 9383,3475 is 1 .

LCM of 184,212 is 9752.

The greatest common factor of 9383/184,3475/212 = [GCF of 9383,3475]/[LCM of 184,212]= 1/9752

Therefore, the GCF of 9383/184,3475/212 is 1/9752.

Greatest Common Factor of 9383,3475

To find the highest common factor of 9383,3475, we have to find the factors of both numbers and list the highest common factor.

The factors of 9383 are 1, 11, 853, 9383

The factors of 3475 are 1, 5, 25, 139, 695, 3475

The HCF of 9383,3475 is 1.

Lets's calculate GCF of 9383,3475

Greatest Common Factor (GCF) of 9383,3475 By Common Division

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

Greatest Common Factor of 9383,3475 By Matching Biggest Common Factor Method

Now, list down the factors of 9383

1,11,853,9383

Now, list down the factors of 3475

1,5,25,139,695,3475

Greatest Common Factor

We found the factors 9383,3475 . The biggest common factor number is the GCF number.
So the greatest common factor 9383,3475 is 1.

Lets's calculate LCM of 184,212

Lowest Common Multiple of 184,212 using Common Division

2	184, 212
2	92, 106
	46, 53

∴ So the LCM of the given numbers is 2 x 2 x 46 x 53 = 9752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9752

Therefore, the GCF of Fractions 9383/184,3475/212 is 1/9752

Least Common Multiple of 184,212 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 184,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,212) = 4

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

GCF(184,212) x common factors =4 x 1 = 4

LCM(184,212) = ( 184 × 212 ) / 4

LCM(184,212) = 39008 / 4

LCM(184,212) = 9752

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FAQs on GCF of Fractions of 9383/184, 3475/212

1. What is the HCF of 9383,3475?

The HCF of 9383,3475 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 9383/184, 3475/212?

Answer: GCF of Numerators as per given numbers 9383/184, 3475/212 is

GCF of Numerators i.e. for 9383,3475 is 1

LCM of denominators i.e. for 184,212 is 9752.

Thus, GCF of Fractions is 1/9752.Finally, GCF of Fractions for 9383/184, 3475/212 is 1/9752.