How to Find GCF of 25/28, 19/624, 235/473?

GCF of 25/28, 19/624, 235/473

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 25/28, 19/624, 235/473 i.e 1/2066064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/28, 19/624, 235/473.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 25/28,19/624,235/473?

Given fractions are 25/28,19/624,235/473

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 25/28,19/624,235/473, numerators are 25,19,235

Denominators are 28,624,473

The GCF of 25,19,235 is 1 .

LCM of 28,624,473 is 2066064.

The greatest common factor of 25/28,19/624,235/473 = [GCF of 25,19,235]/[LCM of 28,624,473]= 1/2066064

Therefore, the GCF of 25/28,19/624,235/473 is 1/2066064.

Greatest Common Factor of 25,19,235

To find the highest common factor of 25,19,235, we have to find the factors of both numbers and list the highest common factor.

The factors of 25 are 1, 5, 25

The factors of 19 are 1, 19

The factors of 235 are 1, 5, 47, 235

The HCF of 25,19,235 is 1.

Lets's calculate GCF of 25,19,235

Greatest Common Factor (GCF) of 25,19,235 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 25,19,235 By Matching Biggest Common Factor Method

Now, list down the factors of 25

1,5,25

Now, list down the factors of 19

1,19

Now, list down the factors of 235

1,5,47,235

Greatest Common Factor

We found the factors 25,19,235 . The biggest common factor number is the GCF number.
So the greatest common factor 25,19,235 is 1.

Lets's calculate LCM of 28,624,473

Lowest Common Multiple of 28,624,473 using Common Division

2	28, 624, 473
2	14, 312, 473
	7, 156, 473

∴ So the LCM of the given numbers is 2 x 2 x 7 x 156 x 473 = 2066064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2066064

Therefore, the GCF of Fractions 25/28,19/624,235/473 is 1/2066064

Least Common Multiple of 28,624,473 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 28,624,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,624,473) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(28,624,473) x common factors =1 x 4 = 4

LCM(28,624,473) = ( 28 × 624 × 473 ) / 4

LCM(28,624,473) = 8264256 / 4

LCM(28,624,473) = 2066064

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 25/28, 19/624, 235/473

1. What is the HCF of 25,19,235?

The HCF of 25,19,235 is 1

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 25/28, 19/624, 235/473?

Answer: GCF of Numerators as per given numbers 25/28, 19/624, 235/473 is

GCF of Numerators i.e. for 25,19,235 is 1

LCM of denominators i.e. for 28,624,473 is 2066064.

Thus, GCF of Fractions is 1/2066064.Finally, GCF of Fractions for 25/28, 19/624, 235/473 is 1/2066064.