GCF of 986/32, 424/462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 986/32, 424/462 i.e 2/7392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 986/32, 424/462.
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 986/32,424/462?
Given fractions are 986/32,424/462
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 986/32,424/462, numerators are 986,424
Denominators are 32,462
The GCF of 986,424 is 2 .
LCM of 32,462 is 7392.
The greatest common factor of 986/32,424/462 = [GCF of 986,424]/[LCM of 32,462]= 2/7392
Therefore, the GCF of 986/32,424/462 is 2/7392.
To find the highest common factor of 986,424, we have to find the factors of both numbers and list the highest common factor.
The factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The HCF of 986,424 is 2.
Lets's calculate GCF of 986,424
| 2 | 986, 424 |
| 493, 212 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 986,424 By Matching Biggest Common Factor Method
Now, list down the factors of 986
:1,2,17,29,34,58,493,986
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 986,424 . The biggest common factor number is the GCF number.
So the greatest common factor 986,424 is 2.
Lets's calculate LCM of 32,462
| 2 | 32, 462 |
| 16, 231 |
∴ So the LCM of the given numbers is 2 x 16 x 231 = 7392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7392
Therefore, the GCF of Fractions 986/32,424/462 is 2/7392
Least Common Multiple of 32,462 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 32,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(32,462) x common factors =2 x 1 = 2
LCM(32,462) = ( 32 × 462 ) / 2
LCM(32,462) = 14784 / 2
LCM(32,462) = 7392
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FAQs on GCF of Fractions of 986/32, 424/462
1. What is the HCF of 986,424?
The HCF of 986,424 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 986/32, 424/462?
Answer: GCF of Numerators as per given numbers 986/32, 424/462 is
GCF of Numerators i.e. for 986,424 is 2
LCM of denominators i.e. for 32,462 is 7392.
Thus, GCF of Fractions is 2/7392.Finally, GCF of Fractions for 986/32, 424/462 is 2/7392.