GCF of 8593/842, 9936/962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8593/842, 9936/962 i.e 1/405002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8593/842, 9936/962.
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 8593/842,9936/962?
Given fractions are 8593/842,9936/962
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 8593/842,9936/962, numerators are 8593,9936
Denominators are 842,962
The GCF of 8593,9936 is 1 .
LCM of 842,962 is 405002.
The greatest common factor of 8593/842,9936/962 = [GCF of 8593,9936]/[LCM of 842,962]= 1/405002
Therefore, the GCF of 8593/842,9936/962 is 1/405002.
To find the highest common factor of 8593,9936, we have to find the factors of both numbers and list the highest common factor.
The factors of 8593 are 1, 13, 661, 8593
The factors of 9936 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 92, 108, 138, 144, 184, 207, 216, 276, 368, 414, 432, 552, 621, 828, 1104, 1242, 1656, 2484, 3312, 4968, 9936
The HCF of 8593,9936 is 1.
Lets's calculate GCF of 8593,9936
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8593,9936 By Matching Biggest Common Factor Method
Now, list down the factors of 8593
:1,13,661,8593
Now, list down the factors of 9936
:1,2,3,4,6,8,9,12,16,18,23,24,27,36,46,48,54,69,72,92,108,138,144,184,207,216,276,368,414,432,552,621,828,1104,1242,1656,2484,3312,4968,9936
Greatest Common Factor
We found the factors 8593,9936 . The biggest common factor number is the GCF number.
So the greatest common factor 8593,9936 is 1.
Lets's calculate LCM of 842,962
| 2 | 842, 962 |
| 421, 481 |
∴ So the LCM of the given numbers is 2 x 421 x 481 = 405002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/405002
Therefore, the GCF of Fractions 8593/842,9936/962 is 1/405002
Least Common Multiple of 842,962 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 842,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,962) x common factors =2 x 1 = 2
LCM(842,962) = ( 842 × 962 ) / 2
LCM(842,962) = 810004 / 2
LCM(842,962) = 405002
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FAQs on GCF of Fractions of 8593/842, 9936/962
1. What is the HCF of 8593,9936?
The HCF of 8593,9936 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 8593/842, 9936/962?
Answer: GCF of Numerators as per given numbers 8593/842, 9936/962 is
GCF of Numerators i.e. for 8593,9936 is 1
LCM of denominators i.e. for 842,962 is 405002.
Thus, GCF of Fractions is 1/405002.Finally, GCF of Fractions for 8593/842, 9936/962 is 1/405002.