GCF of 9256/203, 2064/854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9256/203, 2064/854 i.e 8/24766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9256/203, 2064/854.
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 9256/203,2064/854?
Given fractions are 9256/203,2064/854
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 9256/203,2064/854, numerators are 9256,2064
Denominators are 203,854
The GCF of 9256,2064 is 8 .
LCM of 203,854 is 24766.
The greatest common factor of 9256/203,2064/854 = [GCF of 9256,2064]/[LCM of 203,854]= 8/24766
Therefore, the GCF of 9256/203,2064/854 is 8/24766.
To find the highest common factor of 9256,2064, we have to find the factors of both numbers and list the highest common factor.
The factors of 9256 are 1, 2, 4, 8, 13, 26, 52, 89, 104, 178, 356, 712, 1157, 2314, 4628, 9256
The factors of 2064 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032, 2064
The HCF of 9256,2064 is 8.
Lets's calculate GCF of 9256,2064
| 2 | 9256, 2064 |
| 2 | 4628, 1032 |
| 2 | 2314, 516 |
| 1157, 258 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9256,2064 By Matching Biggest Common Factor Method
Now, list down the factors of 9256
:1,2,4,8,13,26,52,89,104,178,356,712,1157,2314,4628,9256
Now, list down the factors of 2064
:1,2,3,4,6,8,12,16,24,43,48,86,129,172,258,344,516,688,1032,2064
Greatest Common Factor
We found the factors 9256,2064 . The biggest common factor number is the GCF number.
So the greatest common factor 9256,2064 is 8.
Lets's calculate LCM of 203,854
| 7 | 203, 854 |
| 29, 122 |
∴ So the LCM of the given numbers is 7 x 29 x 122 = 24766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/24766
Therefore, the GCF of Fractions 9256/203,2064/854 is 8/24766
Least Common Multiple of 203,854 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 203,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,854) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(203,854) x common factors =7 x 1 = 7
LCM(203,854) = ( 203 × 854 ) / 7
LCM(203,854) = 173362 / 7
LCM(203,854) = 24766
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FAQs on GCF of Fractions of 9256/203, 2064/854
1. What is the HCF of 9256,2064?
The HCF of 9256,2064 is 8
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 9256/203, 2064/854?
Answer: GCF of Numerators as per given numbers 9256/203, 2064/854 is
GCF of Numerators i.e. for 9256,2064 is 8
LCM of denominators i.e. for 203,854 is 24766.
Thus, GCF of Fractions is 8/24766.Finally, GCF of Fractions for 9256/203, 2064/854 is 8/24766.