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GCF of 186/673, 3753/7254

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 186/673, 3753/7254 i.e 3/4881942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 186/673, 3753/7254.

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 186/673,3753/7254?

Given fractions are 186/673,3753/7254

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 186/673,3753/7254, numerators are 186,3753

Denominators are 673,7254

The GCF of 186,3753 is 3 .

LCM of 673,7254 is 4881942.

The greatest common factor of 186/673,3753/7254 = [GCF of 186,3753]/[LCM of 673,7254]= 3/4881942

Therefore, the GCF of 186/673,3753/7254 is 3/4881942.

Greatest Common Factor of 186,3753

To find the highest common factor of 186,3753, we have to find the factors of both numbers and list the highest common factor.

The factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186

The factors of 3753 are 1, 3, 9, 27, 139, 417, 1251, 3753

The HCF of 186,3753 is 3.

Lets's calculate GCF of 186,3753

Greatest Common Factor (GCF) of 186,3753 By Common Division

3 186, 3753
62, 1251

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 186,3753 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,3753 By Matching Biggest Common Factor Method

Now, list down the factors of 186

:

1,2,3,6,31,62,93,186

Now, list down the factors of 3753

:

1,3,9,27,139,417,1251,3753

Greatest Common Factor

We found the factors 186,3753 . The biggest common factor number is the GCF number.
So the greatest common factor 186,3753 is 3.


Lets's calculate LCM of 673,7254

Lowest Common Multiple of 673,7254 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4881942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4881942

Therefore, the GCF of Fractions 186/673,3753/7254 is 3/4881942

Least Common Multiple of 673,7254 with GCF Formula

Least Common Multiple of 673,7254 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 673,7254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,7254) = 1

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

GCF(673,7254) x common factors =1 x 1 = 1

LCM(673,7254) = ( 673 × 7254 ) / 1

LCM(673,7254) = 4881942 / 1

LCM(673,7254) = 4881942


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 186/673, 3753/7254

1. What is the HCF of 186,3753?

The HCF of 186,3753 is 3

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 186/673, 3753/7254?

Answer: GCF of Numerators as per given numbers 186/673, 3753/7254 is

GCF of Numerators i.e. for 186,3753 is 3

LCM of denominators i.e. for 673,7254 is 4881942.

Thus, GCF of Fractions is 3/4881942.Finally, GCF of Fractions for 186/673, 3753/7254 is 3/4881942.