GCF of 4932/162, 1500/7293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4932/162, 1500/7293 i.e 12/393822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4932/162, 1500/7293.
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 4932/162,1500/7293?
Given fractions are 4932/162,1500/7293
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 4932/162,1500/7293, numerators are 4932,1500
Denominators are 162,7293
The GCF of 4932,1500 is 12 .
LCM of 162,7293 is 393822.
The greatest common factor of 4932/162,1500/7293 = [GCF of 4932,1500]/[LCM of 162,7293]= 12/393822
Therefore, the GCF of 4932/162,1500/7293 is 12/393822.
To find the highest common factor of 4932,1500, we have to find the factors of both numbers and list the highest common factor.
The factors of 4932 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932
The factors of 1500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500
The HCF of 4932,1500 is 12.
Lets's calculate GCF of 4932,1500
| 2 | 4932, 1500 |
| 2 | 2466, 750 |
| 3 | 1233, 375 |
| 411, 125 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4932,1500 By Matching Biggest Common Factor Method
Now, list down the factors of 4932
:1,2,3,4,6,9,12,18,36,137,274,411,548,822,1233,1644,2466,4932
Now, list down the factors of 1500
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,750,1500
Greatest Common Factor
We found the factors 4932,1500 . The biggest common factor number is the GCF number.
So the greatest common factor 4932,1500 is 12.
Lets's calculate LCM of 162,7293
| 3 | 162, 7293 |
| 54, 2431 |
∴ So the LCM of the given numbers is 3 x 54 x 2431 = 393822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/393822
Therefore, the GCF of Fractions 4932/162,1500/7293 is 12/393822
Least Common Multiple of 162,7293 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 162,7293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,7293) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(162,7293) x common factors =3 x 1 = 3
LCM(162,7293) = ( 162 × 7293 ) / 3
LCM(162,7293) = 1181466 / 3
LCM(162,7293) = 393822
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4932/162, 1500/7293
1. What is the HCF of 4932,1500?
The HCF of 4932,1500 is 12
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 4932/162, 1500/7293?
Answer: GCF of Numerators as per given numbers 4932/162, 1500/7293 is
GCF of Numerators i.e. for 4932,1500 is 12
LCM of denominators i.e. for 162,7293 is 393822.
Thus, GCF of Fractions is 12/393822.Finally, GCF of Fractions for 4932/162, 1500/7293 is 12/393822.