GCF of 424/66, 162/9382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 424/66, 162/9382 i.e 2/309606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/66, 162/9382.
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 424/66,162/9382?
Given fractions are 424/66,162/9382
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 424/66,162/9382, numerators are 424,162
Denominators are 66,9382
The GCF of 424,162 is 2 .
LCM of 66,9382 is 309606.
The greatest common factor of 424/66,162/9382 = [GCF of 424,162]/[LCM of 66,9382]= 2/309606
Therefore, the GCF of 424/66,162/9382 is 2/309606.
To find the highest common factor of 424,162, we have to find the factors of both numbers and list the highest common factor.
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
The HCF of 424,162 is 2.
Lets's calculate GCF of 424,162
| 2 | 424, 162 |
| 212, 81 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 424,162 By Matching Biggest Common Factor Method
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 162
:1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 424,162 . The biggest common factor number is the GCF number.
So the greatest common factor 424,162 is 2.
Lets's calculate LCM of 66,9382
| 2 | 66, 9382 |
| 33, 4691 |
∴ So the LCM of the given numbers is 2 x 33 x 4691 = 309606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/309606
Therefore, the GCF of Fractions 424/66,162/9382 is 2/309606
Least Common Multiple of 66,9382 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 66,9382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,9382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(66,9382) x common factors =2 x 1 = 2
LCM(66,9382) = ( 66 × 9382 ) / 2
LCM(66,9382) = 619212 / 2
LCM(66,9382) = 309606
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 424/66, 162/9382
1. What is the HCF of 424,162?
The HCF of 424,162 is 2
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 424/66, 162/9382?
Answer: GCF of Numerators as per given numbers 424/66, 162/9382 is
GCF of Numerators i.e. for 424,162 is 2
LCM of denominators i.e. for 66,9382 is 309606.
Thus, GCF of Fractions is 2/309606.Finally, GCF of Fractions for 424/66, 162/9382 is 2/309606.