Use our free GCF of Fractions Calculator tool to compute the GCF of 992/562, 4640/967 i.e 32/543454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 992/562, 4640/967.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 992/562,4640/967
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 992/562,4640/967, numerators are 992,4640
Denominators are 562,967
The GCF of 992,4640 is 32 .
LCM of 562,967 is 543454.
The greatest common factor of 992/562,4640/967 = [GCF of 992,4640]/[LCM of 562,967]= 32/543454
Therefore, the GCF of 992/562,4640/967 is 32/543454.
To find the highest common factor of 992,4640, we have to find the factors of both numbers and list the highest common factor.
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The factors of 4640 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320, 4640
The HCF of 992,4640 is 32.
Lets's calculate GCF of 992,4640
2 | 992, 4640 |
2 | 496, 2320 |
2 | 248, 1160 |
2 | 124, 580 |
2 | 62, 290 |
31, 145 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Now, list down the factors of 992
:1,2,4,8,16,31,32,62,124,248,496,992
Now, list down the factors of 4640
:1,2,4,5,8,10,16,20,29,32,40,58,80,116,145,160,232,290,464,580,928,1160,2320,4640
Greatest Common Factor
We found the factors 992,4640 . The biggest common factor number is the GCF number.
So the greatest common factor 992,4640 is 32.
Lets's calculate LCM of 562,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 543454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/543454
Therefore, the GCF of Fractions 992/562,4640/967 is 32/543454
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 562,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(562,967) x common factors =1 x 1 = 1
LCM(562,967) = ( 562 × 967 ) / 1
LCM(562,967) = 543454 / 1
LCM(562,967) = 543454
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 992,4640?
The HCF of 992,4640 is 32
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 992/562, 4640/967?
Answer: GCF of Numerators as per given numbers 992/562, 4640/967 is
GCF of Numerators i.e. for 992,4640 is 32
LCM of denominators i.e. for 562,967 is 543454.
Thus, GCF of Fractions is 32/543454.Finally, GCF of Fractions for 992/562, 4640/967 is 32/543454.