GCF of 96/536, 37/687, 462/684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/536, 37/687, 462/684 i.e 1/20989224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/536, 37/687, 462/684.
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 96/536,37/687,462/684?
Given fractions are 96/536,37/687,462/684
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 96/536,37/687,462/684, numerators are 96,37,462
Denominators are 536,687,684
The GCF of 96,37,462 is 1 .
LCM of 536,687,684 is 20989224.
The greatest common factor of 96/536,37/687,462/684 = [GCF of 96,37,462]/[LCM of 536,687,684]= 1/20989224
Therefore, the GCF of 96/536,37/687,462/684 is 1/20989224.
To find the highest common factor of 96,37,462, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 37 are 1, 37
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The HCF of 96,37,462 is 1.
Lets's calculate GCF of 96,37,462
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 96,37,462 By Matching Biggest Common Factor Method
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 37
:1,37
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 96,37,462 . The biggest common factor number is the GCF number.
So the greatest common factor 96,37,462 is 1.
Lets's calculate LCM of 536,687,684
| 2 | 536, 687, 684 |
| 2 | 268, 687, 342 |
| 3 | 134, 687, 171 |
| 134, 229, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 134 x 229 x 57 = 20989224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20989224
Therefore, the GCF of Fractions 96/536,37/687,462/684 is 1/20989224
Least Common Multiple of 536,687,684 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 536,687,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,687,684) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(536,687,684) x common factors =1 x 12 = 12
LCM(536,687,684) = ( 536 × 687 × 684 ) / 12
LCM(536,687,684) = 251870688 / 12
LCM(536,687,684) = 20989224
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FAQs on GCF of Fractions of 96/536, 37/687, 462/684
1. What is the HCF of 96,37,462?
The HCF of 96,37,462 is 1
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 96/536, 37/687, 462/684?
Answer: GCF of Numerators as per given numbers 96/536, 37/687, 462/684 is
GCF of Numerators i.e. for 96,37,462 is 1
LCM of denominators i.e. for 536,687,684 is 20989224.
Thus, GCF of Fractions is 1/20989224.Finally, GCF of Fractions for 96/536, 37/687, 462/684 is 1/20989224.