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GCF of 40/578, 25/5888

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 40/578, 25/5888 i.e 5/1701632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/578, 25/5888.

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 40/578,25/5888?

Given fractions are 40/578,25/5888

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 40/578,25/5888, numerators are 40,25

Denominators are 578,5888

The GCF of 40,25 is 5 .

LCM of 578,5888 is 1701632.

The greatest common factor of 40/578,25/5888 = [GCF of 40,25]/[LCM of 578,5888]= 5/1701632

Therefore, the GCF of 40/578,25/5888 is 5/1701632.

Greatest Common Factor of 40,25

To find the highest common factor of 40,25, we have to find the factors of both numbers and list the highest common factor.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The factors of 25 are 1, 5, 25

The HCF of 40,25 is 5.

Lets's calculate GCF of 40,25

Greatest Common Factor (GCF) of 40,25 By Common Division

5 40, 25
8, 5

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 40,25 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,25 By Matching Biggest Common Factor Method

Now, list down the factors of 40

:

1,2,4,5,8,10,20,40

Now, list down the factors of 25

:

1,5,25

Greatest Common Factor

We found the factors 40,25 . The biggest common factor number is the GCF number.
So the greatest common factor 40,25 is 5.


Lets's calculate LCM of 578,5888

Lowest Common Multiple of 578,5888 using Common Division

2 578, 5888
289, 2944

∴ So the LCM of the given numbers is 2 x 289 x 2944 = 1701632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1701632

Therefore, the GCF of Fractions 40/578,25/5888 is 5/1701632

Least Common Multiple of 578,5888 with GCF Formula

Least Common Multiple of 578,5888 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 578,5888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,5888) = 2

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

GCF(578,5888) x common factors =2 x 1 = 2

LCM(578,5888) = ( 578 × 5888 ) / 2

LCM(578,5888) = 3403264 / 2

LCM(578,5888) = 1701632


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 40/578, 25/5888

1. What is the HCF of 40,25?

The HCF of 40,25 is 5

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 40/578, 25/5888?

Answer: GCF of Numerators as per given numbers 40/578, 25/5888 is

GCF of Numerators i.e. for 40,25 is 5

LCM of denominators i.e. for 578,5888 is 1701632.

Thus, GCF of Fractions is 5/1701632.Finally, GCF of Fractions for 40/578, 25/5888 is 5/1701632.