How to Find GCF of 1504/225, 8732/628?

GCF of 1504/225, 8732/628

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 1504/225, 8732/628 i.e 4/141300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1504/225, 8732/628.

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 1504/225,8732/628?

Given fractions are 1504/225,8732/628

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 1504/225,8732/628, numerators are 1504,8732

Denominators are 225,628

The GCF of 1504,8732 is 4 .

LCM of 225,628 is 141300.

The greatest common factor of 1504/225,8732/628 = [GCF of 1504,8732]/[LCM of 225,628]= 4/141300

Therefore, the GCF of 1504/225,8732/628 is 4/141300.

Greatest Common Factor of 1504,8732

To find the highest common factor of 1504,8732, we have to find the factors of both numbers and list the highest common factor.

The factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504

The factors of 8732 are 1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732

The HCF of 1504,8732 is 4.

Lets's calculate GCF of 1504,8732

Greatest Common Factor (GCF) of 1504,8732 By Common Division

2	1504, 8732
2	752, 4366
	376, 2183

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1504,8732 By Matching Biggest Common Factor Method

Now, list down the factors of 1504

1,2,4,8,16,32,47,94,188,376,752,1504

Now, list down the factors of 8732

1,2,4,37,59,74,118,148,236,2183,4366,8732

Greatest Common Factor

We found the factors 1504,8732 . The biggest common factor number is the GCF number.
So the greatest common factor 1504,8732 is 4.

Lets's calculate LCM of 225,628

Lowest Common Multiple of 225,628 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 141300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/141300

Therefore, the GCF of Fractions 1504/225,8732/628 is 4/141300

Least Common Multiple of 225,628 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 225,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,628) = 1

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

GCF(225,628) x common factors =1 x 1 = 1

LCM(225,628) = ( 225 × 628 ) / 1

LCM(225,628) = 141300 / 1

LCM(225,628) = 141300

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1504/225, 8732/628

1. What is the HCF of 1504,8732?

The HCF of 1504,8732 is 4

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 1504/225, 8732/628?

Answer: GCF of Numerators as per given numbers 1504/225, 8732/628 is

GCF of Numerators i.e. for 1504,8732 is 4

LCM of denominators i.e. for 225,628 is 141300.

Thus, GCF of Fractions is 4/141300.Finally, GCF of Fractions for 1504/225, 8732/628 is 4/141300.