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GCF of 5754/555, 4737/8045

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 5754/555, 4737/8045 i.e 3/892995 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5754/555, 4737/8045.

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 5754/555,4737/8045?

Given fractions are 5754/555,4737/8045

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 5754/555,4737/8045, numerators are 5754,4737

Denominators are 555,8045

The GCF of 5754,4737 is 3 .

LCM of 555,8045 is 892995.

The greatest common factor of 5754/555,4737/8045 = [GCF of 5754,4737]/[LCM of 555,8045]= 3/892995

Therefore, the GCF of 5754/555,4737/8045 is 3/892995.

Greatest Common Factor of 5754,4737

To find the highest common factor of 5754,4737, we have to find the factors of both numbers and list the highest common factor.

The factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754

The factors of 4737 are 1, 3, 1579, 4737

The HCF of 5754,4737 is 3.

Lets's calculate GCF of 5754,4737

Greatest Common Factor (GCF) of 5754,4737 By Common Division

3 5754, 4737
1918, 1579

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

Greatest Common Factor of 5754,4737 By Matching Biggest Common Factor Method

Greatest Common Factor of 5754,4737 By Matching Biggest Common Factor Method

Now, list down the factors of 5754

:

1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754

Now, list down the factors of 4737

:

1,3,1579,4737

Greatest Common Factor

We found the factors 5754,4737 . The biggest common factor number is the GCF number.
So the greatest common factor 5754,4737 is 3.


Lets's calculate LCM of 555,8045

Lowest Common Multiple of 555,8045 using Common Division

5 555, 8045
111, 1609

∴ So the LCM of the given numbers is 5 x 111 x 1609 = 892995

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/892995

Therefore, the GCF of Fractions 5754/555,4737/8045 is 3/892995

Least Common Multiple of 555,8045 with GCF Formula

Least Common Multiple of 555,8045 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 555,8045 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(555,8045) = 5

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

GCF(555,8045) x common factors =5 x 1 = 5

LCM(555,8045) = ( 555 × 8045 ) / 5

LCM(555,8045) = 4464975 / 5

LCM(555,8045) = 892995


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5754/555, 4737/8045

1. What is the HCF of 5754,4737?

The HCF of 5754,4737 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 5754/555, 4737/8045?

Answer: GCF of Numerators as per given numbers 5754/555, 4737/8045 is

GCF of Numerators i.e. for 5754,4737 is 3

LCM of denominators i.e. for 555,8045 is 892995.

Thus, GCF of Fractions is 3/892995.Finally, GCF of Fractions for 5754/555, 4737/8045 is 3/892995.