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GCF of 183/743, 885/654

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 183/743, 885/654 i.e 3/485922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 183/743, 885/654.

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 183/743,885/654?

Given fractions are 183/743,885/654

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 183/743,885/654, numerators are 183,885

Denominators are 743,654

The GCF of 183,885 is 3 .

LCM of 743,654 is 485922.

The greatest common factor of 183/743,885/654 = [GCF of 183,885]/[LCM of 743,654]= 3/485922

Therefore, the GCF of 183/743,885/654 is 3/485922.

Greatest Common Factor of 183,885

To find the highest common factor of 183,885, we have to find the factors of both numbers and list the highest common factor.

The factors of 183 are 1, 3, 61, 183

The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885

The HCF of 183,885 is 3.

Lets's calculate GCF of 183,885

Greatest Common Factor (GCF) of 183,885 By Common Division

3 183, 885
61, 295

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

Greatest Common Factor of 183,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,885 By Matching Biggest Common Factor Method

Now, list down the factors of 183

:

1,3,61,183

Now, list down the factors of 885

:

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 183,885 . The biggest common factor number is the GCF number.
So the greatest common factor 183,885 is 3.

Lets's calculate LCM of 743,654

Lowest Common Multiple of 743,654 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 485922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/485922

Therefore, the GCF of Fractions 183/743,885/654 is 3/485922

Least Common Multiple of 743,654 with GCF Formula

Least Common Multiple of 743,654 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 743,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,654) = 1

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

GCF(743,654) x common factors =1 x 1 = 1

LCM(743,654) = ( 743 × 654 ) / 1

LCM(743,654) = 485922 / 1

LCM(743,654) = 485922


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FAQs on GCF of Fractions of 183/743, 885/654

1. What is the HCF of 183,885?

The HCF of 183,885 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 183/743, 885/654?

Answer: GCF of Numerators as per given numbers 183/743, 885/654 is

GCF of Numerators i.e. for 183,885 is 3

LCM of denominators i.e. for 743,654 is 485922.

Thus, GCF of Fractions is 3/485922.Finally, GCF of Fractions for 183/743, 885/654 is 3/485922.