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GCF of 182/12, 3785/735

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 182/12, 3785/735 i.e 1/2940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 182/12, 3785/735.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 182/12,3785/735?

Given fractions are 182/12,3785/735

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 182/12,3785/735, numerators are 182,3785

Denominators are 12,735

The GCF of 182,3785 is 1 .

LCM of 12,735 is 2940.

The greatest common factor of 182/12,3785/735 = [GCF of 182,3785]/[LCM of 12,735]= 1/2940

Therefore, the GCF of 182/12,3785/735 is 1/2940.

Greatest Common Factor of 182,3785

To find the highest common factor of 182,3785, we have to find the factors of both numbers and list the highest common factor.

The factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182

The factors of 3785 are 1, 5, 757, 3785

The HCF of 182,3785 is 1.

Lets's calculate GCF of 182,3785

Greatest Common Factor (GCF) of 182,3785 By Common Division

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

Greatest Common Factor of 182,3785 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,3785 By Matching Biggest Common Factor Method

Now, list down the factors of 182

:

1,2,7,13,14,26,91,182

Now, list down the factors of 3785

:

1,5,757,3785

Greatest Common Factor

We found the factors 182,3785 . The biggest common factor number is the GCF number.
So the greatest common factor 182,3785 is 1.


Lets's calculate LCM of 12,735

Lowest Common Multiple of 12,735 using Common Division

3 12, 735
4, 245

∴ So the LCM of the given numbers is 3 x 4 x 245 = 2940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2940

Therefore, the GCF of Fractions 182/12,3785/735 is 1/2940

Least Common Multiple of 12,735 with GCF Formula

Least Common Multiple of 12,735 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 12,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,735) = 3

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

GCF(12,735) x common factors =3 x 1 = 3

LCM(12,735) = ( 12 × 735 ) / 3

LCM(12,735) = 8820 / 3

LCM(12,735) = 2940


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 182/12, 3785/735

1. What is the HCF of 182,3785?

The HCF of 182,3785 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 182/12, 3785/735?

Answer: GCF of Numerators as per given numbers 182/12, 3785/735 is

GCF of Numerators i.e. for 182,3785 is 1

LCM of denominators i.e. for 12,735 is 2940.

Thus, GCF of Fractions is 1/2940.Finally, GCF of Fractions for 182/12, 3785/735 is 1/2940.