GCF of 96/74, 539/38, 462/559
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 96/74, 539/38, 462/559 i.e 1/785954 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/74, 539/38, 462/559.
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 96/74,539/38,462/559?
Given fractions are 96/74,539/38,462/559
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 96/74,539/38,462/559, numerators are 96,539,462
Denominators are 74,38,559
The GCF of 96,539,462 is 1 .
LCM of 74,38,559 is 785954.
The greatest common factor of 96/74,539/38,462/559 = [GCF of 96,539,462]/[LCM of 74,38,559]= 1/785954
Therefore, the GCF of 96/74,539/38,462/559 is 1/785954.
To find the highest common factor of 96,539,462, 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 539 are 1, 7, 11, 49, 77, 539
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The HCF of 96,539,462 is 1.
Lets's calculate GCF of 96,539,462
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 96,539,462 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 539
:1,7,11,49,77,539
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 96,539,462 . The biggest common factor number is the GCF number.
So the greatest common factor 96,539,462 is 1.
Lets's calculate LCM of 74,38,559
| 2 | 74, 38, 559 |
| 37, 19, 559 |
∴ So the LCM of the given numbers is 2 x 37 x 19 x 559 = 785954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/785954
Therefore, the GCF of Fractions 96/74,539/38,462/559 is 1/785954
Least Common Multiple of 74,38,559 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 74,38,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,38,559) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,38,559) x common factors =1 x 2 = 2
LCM(74,38,559) = ( 74 × 38 × 559 ) / 2
LCM(74,38,559) = 1571908 / 2
LCM(74,38,559) = 785954
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FAQs on GCF of Fractions of 96/74, 539/38, 462/559
1. What is the HCF of 96,539,462?
The HCF of 96,539,462 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 96/74, 539/38, 462/559?
Answer: GCF of Numerators as per given numbers 96/74, 539/38, 462/559 is
GCF of Numerators i.e. for 96,539,462 is 1
LCM of denominators i.e. for 74,38,559 is 785954.
Thus, GCF of Fractions is 1/785954.Finally, GCF of Fractions for 96/74, 539/38, 462/559 is 1/785954.