GCF of 922/311, 8160/256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 922/311, 8160/256 i.e 2/79616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/311, 8160/256.
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 922/311,8160/256?
Given fractions are 922/311,8160/256
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 922/311,8160/256, numerators are 922,8160
Denominators are 311,256
The GCF of 922,8160 is 2 .
LCM of 311,256 is 79616.
The greatest common factor of 922/311,8160/256 = [GCF of 922,8160]/[LCM of 311,256]= 2/79616
Therefore, the GCF of 922/311,8160/256 is 2/79616.
To find the highest common factor of 922,8160, we have to find the factors of both numbers and list the highest common factor.
The factors of 922 are 1, 2, 461, 922
The factors of 8160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160
The HCF of 922,8160 is 2.
Lets's calculate GCF of 922,8160
| 2 | 922, 8160 |
| 461, 4080 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 922,8160 By Matching Biggest Common Factor Method
Now, list down the factors of 922
:1,2,461,922
Now, list down the factors of 8160
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,32,34,40,48,51,60,68,80,85,96,102,120,136,160,170,204,240,255,272,340,408,480,510,544,680,816,1020,1360,1632,2040,2720,4080,8160
Greatest Common Factor
We found the factors 922,8160 . The biggest common factor number is the GCF number.
So the greatest common factor 922,8160 is 2.
Lets's calculate LCM of 311,256
Given numbers has no common factors except 1. So, there LCM is their product i.e 79616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/79616
Therefore, the GCF of Fractions 922/311,8160/256 is 2/79616
Least Common Multiple of 311,256 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 311,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,256) x common factors =1 x 1 = 1
LCM(311,256) = ( 311 × 256 ) / 1
LCM(311,256) = 79616 / 1
LCM(311,256) = 79616
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FAQs on GCF of Fractions of 922/311, 8160/256
1. What is the HCF of 922,8160?
The HCF of 922,8160 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 922/311, 8160/256?
Answer: GCF of Numerators as per given numbers 922/311, 8160/256 is
GCF of Numerators i.e. for 922,8160 is 2
LCM of denominators i.e. for 311,256 is 79616.
Thus, GCF of Fractions is 2/79616.Finally, GCF of Fractions for 922/311, 8160/256 is 2/79616.