GCF of 256/20, 998/9763
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 256/20, 998/9763 i.e 2/195260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 256/20, 998/9763.
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 256/20,998/9763?
Given fractions are 256/20,998/9763
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 256/20,998/9763, numerators are 256,998
Denominators are 20,9763
The GCF of 256,998 is 2 .
LCM of 20,9763 is 195260.
The greatest common factor of 256/20,998/9763 = [GCF of 256,998]/[LCM of 20,9763]= 2/195260
Therefore, the GCF of 256/20,998/9763 is 2/195260.
To find the highest common factor of 256,998, we have to find the factors of both numbers and list the highest common factor.
The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256
The factors of 998 are 1, 2, 499, 998
The HCF of 256,998 is 2.
Lets's calculate GCF of 256,998
| 2 | 256, 998 |
| 128, 499 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 256,998 By Matching Biggest Common Factor Method
Now, list down the factors of 256
:1,2,4,8,16,32,64,128,256
Now, list down the factors of 998
:1,2,499,998
Greatest Common Factor
We found the factors 256,998 . The biggest common factor number is the GCF number.
So the greatest common factor 256,998 is 2.
Lets's calculate LCM of 20,9763
Given numbers has no common factors except 1. So, there LCM is their product i.e 195260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/195260
Therefore, the GCF of Fractions 256/20,998/9763 is 2/195260
Least Common Multiple of 20,9763 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 20,9763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,9763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,9763) x common factors =1 x 1 = 1
LCM(20,9763) = ( 20 × 9763 ) / 1
LCM(20,9763) = 195260 / 1
LCM(20,9763) = 195260
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FAQs on GCF of Fractions of 256/20, 998/9763
1. What is the HCF of 256,998?
The HCF of 256,998 is 2
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 256/20, 998/9763?
Answer: GCF of Numerators as per given numbers 256/20, 998/9763 is
GCF of Numerators i.e. for 256,998 is 2
LCM of denominators i.e. for 20,9763 is 195260.
Thus, GCF of Fractions is 2/195260.Finally, GCF of Fractions for 256/20, 998/9763 is 2/195260.