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GCF of 5733/631, 2743/1577

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 5733/631, 2743/1577 i.e 13/995087 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5733/631, 2743/1577.

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 5733/631,2743/1577?

Given fractions are 5733/631,2743/1577

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 5733/631,2743/1577, numerators are 5733,2743

Denominators are 631,1577

The GCF of 5733,2743 is 13 .

LCM of 631,1577 is 995087.

The greatest common factor of 5733/631,2743/1577 = [GCF of 5733,2743]/[LCM of 631,1577]= 13/995087

Therefore, the GCF of 5733/631,2743/1577 is 13/995087.

Greatest Common Factor of 5733,2743

To find the highest common factor of 5733,2743, we have to find the factors of both numbers and list the highest common factor.

The factors of 5733 are 1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733

The factors of 2743 are 1, 13, 211, 2743

The HCF of 5733,2743 is 13.

Lets's calculate GCF of 5733,2743

Greatest Common Factor (GCF) of 5733,2743 By Common Division

13 5733, 2743
441, 211

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 5733,2743 By Matching Biggest Common Factor Method

Greatest Common Factor of 5733,2743 By Matching Biggest Common Factor Method

Now, list down the factors of 5733

:

1,3,7,9,13,21,39,49,63,91,117,147,273,441,637,819,1911,5733

Now, list down the factors of 2743

:

1,13,211,2743

Greatest Common Factor

We found the factors 5733,2743 . The biggest common factor number is the GCF number.
So the greatest common factor 5733,2743 is 13.


Lets's calculate LCM of 631,1577

Lowest Common Multiple of 631,1577 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 995087

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/995087

Therefore, the GCF of Fractions 5733/631,2743/1577 is 13/995087

Least Common Multiple of 631,1577 with GCF Formula

Least Common Multiple of 631,1577 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 631,1577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(631,1577) = 1

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

GCF(631,1577) x common factors =1 x 1 = 1

LCM(631,1577) = ( 631 × 1577 ) / 1

LCM(631,1577) = 995087 / 1

LCM(631,1577) = 995087


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5733/631, 2743/1577

1. What is the HCF of 5733,2743?

The HCF of 5733,2743 is 13

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 5733/631, 2743/1577?

Answer: GCF of Numerators as per given numbers 5733/631, 2743/1577 is

GCF of Numerators i.e. for 5733,2743 is 13

LCM of denominators i.e. for 631,1577 is 995087.

Thus, GCF of Fractions is 13/995087.Finally, GCF of Fractions for 5733/631, 2743/1577 is 13/995087.