GCF of 922/563, 5760/896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 922/563, 5760/896 i.e 2/504448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/563, 5760/896.
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 922/563,5760/896?
Given fractions are 922/563,5760/896
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 922/563,5760/896, numerators are 922,5760
Denominators are 563,896
The GCF of 922,5760 is 2 .
LCM of 563,896 is 504448.
The greatest common factor of 922/563,5760/896 = [GCF of 922,5760]/[LCM of 563,896]= 2/504448
Therefore, the GCF of 922/563,5760/896 is 2/504448.
To find the highest common factor of 922,5760, 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 5760 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760
The HCF of 922,5760 is 2.
Lets's calculate GCF of 922,5760
| 2 | 922, 5760 |
| 461, 2880 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 922,5760 By Matching Biggest Common Factor Method
Now, list down the factors of 922
:1,2,461,922
Now, list down the factors of 5760
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,128,144,160,180,192,240,288,320,360,384,480,576,640,720,960,1152,1440,1920,2880,5760
Greatest Common Factor
We found the factors 922,5760 . The biggest common factor number is the GCF number.
So the greatest common factor 922,5760 is 2.
Lets's calculate LCM of 563,896
Given numbers has no common factors except 1. So, there LCM is their product i.e 504448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/504448
Therefore, the GCF of Fractions 922/563,5760/896 is 2/504448
Least Common Multiple of 563,896 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 563,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,896) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,896) x common factors =1 x 1 = 1
LCM(563,896) = ( 563 × 896 ) / 1
LCM(563,896) = 504448 / 1
LCM(563,896) = 504448
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FAQs on GCF of Fractions of 922/563, 5760/896
1. What is the HCF of 922,5760?
The HCF of 922,5760 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 922/563, 5760/896?
Answer: GCF of Numerators as per given numbers 922/563, 5760/896 is
GCF of Numerators i.e. for 922,5760 is 2
LCM of denominators i.e. for 563,896 is 504448.
Thus, GCF of Fractions is 2/504448.Finally, GCF of Fractions for 922/563, 5760/896 is 2/504448.