How to Find GCF of 902/60, 924/288?

GCF of 902/60, 924/288

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 902/60, 924/288 i.e 22/1440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 902/60, 924/288.

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 902/60,924/288?

Given fractions are 902/60,924/288

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 902/60,924/288, numerators are 902,924

Denominators are 60,288

The GCF of 902,924 is 22 .

LCM of 60,288 is 1440.

The greatest common factor of 902/60,924/288 = [GCF of 902,924]/[LCM of 60,288]= 22/1440

Therefore, the GCF of 902/60,924/288 is 22/1440.

Greatest Common Factor of 902,924

To find the highest common factor of 902,924, we have to find the factors of both numbers and list the highest common factor.

The factors of 902 are 1, 2, 11, 22, 41, 82, 451, 902

The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

The HCF of 902,924 is 22.

Lets's calculate GCF of 902,924

Greatest Common Factor (GCF) of 902,924 By Common Division

2	902, 924
11	451, 462
	41, 42

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 902,924 By Matching Biggest Common Factor Method

Now, list down the factors of 902

1,2,11,22,41,82,451,902

Now, list down the factors of 924

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 902,924 . The biggest common factor number is the GCF number.
So the greatest common factor 902,924 is 22.

Lets's calculate LCM of 60,288

Lowest Common Multiple of 60,288 using Common Division

2	60, 288
2	30, 144
3	15, 72
	5, 24

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 24 = 1440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/1440

Therefore, the GCF of Fractions 902/60,924/288 is 22/1440

Least Common Multiple of 60,288 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 60,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,288) = 12

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

GCF(60,288) x common factors =12 x 1 = 12

LCM(60,288) = ( 60 × 288 ) / 12

LCM(60,288) = 17280 / 12

LCM(60,288) = 1440

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 902/60, 924/288

1. What is the HCF of 902,924?

The HCF of 902,924 is 22

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 902/60, 924/288?

Answer: GCF of Numerators as per given numbers 902/60, 924/288 is

GCF of Numerators i.e. for 902,924 is 22

LCM of denominators i.e. for 60,288 is 1440.

Thus, GCF of Fractions is 22/1440.Finally, GCF of Fractions for 902/60, 924/288 is 22/1440.