GCF of 12/299, 38/913, 480/824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 12/299, 38/913, 480/824 i.e 2/224941288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 12/299, 38/913, 480/824.
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 12/299,38/913,480/824?
Given fractions are 12/299,38/913,480/824
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 12/299,38/913,480/824, numerators are 12,38,480
Denominators are 299,913,824
The GCF of 12,38,480 is 2 .
LCM of 299,913,824 is 224941288.
The greatest common factor of 12/299,38/913,480/824 = [GCF of 12,38,480]/[LCM of 299,913,824]= 2/224941288
Therefore, the GCF of 12/299,38/913,480/824 is 2/224941288.
To find the highest common factor of 12,38,480, we have to find the factors of both numbers and list the highest common factor.
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 38 are 1, 2, 19, 38
The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
The HCF of 12,38,480 is 2.
Lets's calculate GCF of 12,38,480
| 2 | 12, 38, 480 |
| 6, 19, 240 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 12,38,480 By Matching Biggest Common Factor Method
Now, list down the factors of 12
:1,2,3,4,6,12
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 480
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 12,38,480 . The biggest common factor number is the GCF number.
So the greatest common factor 12,38,480 is 2.
Lets's calculate LCM of 299,913,824
Given numbers has no common factors except 1. So, there LCM is their product i.e 224941288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/224941288
Therefore, the GCF of Fractions 12/299,38/913,480/824 is 2/224941288
Least Common Multiple of 299,913,824 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 299,913,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,913,824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,913,824) x common factors =1 x 1 = 1
LCM(299,913,824) = ( 299 × 913 × 824 ) / 1
LCM(299,913,824) = 224941288 / 1
LCM(299,913,824) = 224941288
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FAQs on GCF of Fractions of 12/299, 38/913, 480/824
1. What is the HCF of 12,38,480?
The HCF of 12,38,480 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 12/299, 38/913, 480/824?
Answer: GCF of Numerators as per given numbers 12/299, 38/913, 480/824 is
GCF of Numerators i.e. for 12,38,480 is 2
LCM of denominators i.e. for 299,913,824 is 224941288.
Thus, GCF of Fractions is 2/224941288.Finally, GCF of Fractions for 12/299, 38/913, 480/824 is 2/224941288.