GCF of 482/34, 382/912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 482/34, 382/912 i.e 2/15504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 482/34, 382/912.
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 482/34,382/912?
Given fractions are 482/34,382/912
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 482/34,382/912, numerators are 482,382
Denominators are 34,912
The GCF of 482,382 is 2 .
LCM of 34,912 is 15504.
The greatest common factor of 482/34,382/912 = [GCF of 482,382]/[LCM of 34,912]= 2/15504
Therefore, the GCF of 482/34,382/912 is 2/15504.
To find the highest common factor of 482,382, we have to find the factors of both numbers and list the highest common factor.
The factors of 482 are 1, 2, 241, 482
The factors of 382 are 1, 2, 191, 382
The HCF of 482,382 is 2.
Lets's calculate GCF of 482,382
| 2 | 482, 382 |
| 241, 191 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 482,382 By Matching Biggest Common Factor Method
Now, list down the factors of 482
:1,2,241,482
Now, list down the factors of 382
:1,2,191,382
Greatest Common Factor
We found the factors 482,382 . The biggest common factor number is the GCF number.
So the greatest common factor 482,382 is 2.
Lets's calculate LCM of 34,912
| 2 | 34, 912 |
| 17, 456 |
∴ So the LCM of the given numbers is 2 x 17 x 456 = 15504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15504
Therefore, the GCF of Fractions 482/34,382/912 is 2/15504
Least Common Multiple of 34,912 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 34,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(34,912) x common factors =2 x 1 = 2
LCM(34,912) = ( 34 × 912 ) / 2
LCM(34,912) = 31008 / 2
LCM(34,912) = 15504
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FAQs on GCF of Fractions of 482/34, 382/912
1. What is the HCF of 482,382?
The HCF of 482,382 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 482/34, 382/912?
Answer: GCF of Numerators as per given numbers 482/34, 382/912 is
GCF of Numerators i.e. for 482,382 is 2
LCM of denominators i.e. for 34,912 is 15504.
Thus, GCF of Fractions is 2/15504.Finally, GCF of Fractions for 482/34, 382/912 is 2/15504.