GCF of 8856/233, 9972/4243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8856/233, 9972/4243 i.e 36/988619 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8856/233, 9972/4243.
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 8856/233,9972/4243?
Given fractions are 8856/233,9972/4243
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 8856/233,9972/4243, numerators are 8856,9972
Denominators are 233,4243
The GCF of 8856,9972 is 36 .
LCM of 233,4243 is 988619.
The greatest common factor of 8856/233,9972/4243 = [GCF of 8856,9972]/[LCM of 233,4243]= 36/988619
Therefore, the GCF of 8856/233,9972/4243 is 36/988619.
To find the highest common factor of 8856,9972, we have to find the factors of both numbers and list the highest common factor.
The factors of 8856 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 82, 108, 123, 164, 216, 246, 328, 369, 492, 738, 984, 1107, 1476, 2214, 2952, 4428, 8856
The factors of 9972 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972
The HCF of 8856,9972 is 36.
Lets's calculate GCF of 8856,9972
| 2 | 8856, 9972 |
| 2 | 4428, 4986 |
| 3 | 2214, 2493 |
| 3 | 738, 831 |
| 246, 277 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 8856,9972 By Matching Biggest Common Factor Method
Now, list down the factors of 8856
:1,2,3,4,6,8,9,12,18,24,27,36,41,54,72,82,108,123,164,216,246,328,369,492,738,984,1107,1476,2214,2952,4428,8856
Now, list down the factors of 9972
:1,2,3,4,6,9,12,18,36,277,554,831,1108,1662,2493,3324,4986,9972
Greatest Common Factor
We found the factors 8856,9972 . The biggest common factor number is the GCF number.
So the greatest common factor 8856,9972 is 36.
Lets's calculate LCM of 233,4243
Given numbers has no common factors except 1. So, there LCM is their product i.e 988619
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/988619
Therefore, the GCF of Fractions 8856/233,9972/4243 is 36/988619
Least Common Multiple of 233,4243 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 233,4243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,4243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,4243) x common factors =1 x 1 = 1
LCM(233,4243) = ( 233 × 4243 ) / 1
LCM(233,4243) = 988619 / 1
LCM(233,4243) = 988619
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FAQs on GCF of Fractions of 8856/233, 9972/4243
1. What is the HCF of 8856,9972?
The HCF of 8856,9972 is 36
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 8856/233, 9972/4243?
Answer: GCF of Numerators as per given numbers 8856/233, 9972/4243 is
GCF of Numerators i.e. for 8856,9972 is 36
LCM of denominators i.e. for 233,4243 is 988619.
Thus, GCF of Fractions is 36/988619.Finally, GCF of Fractions for 8856/233, 9972/4243 is 36/988619.