Use our free GCF of Fractions Calculator tool to compute the GCF of 994/827, 9572/838 i.e 2/693026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/827, 9572/838.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 994/827,9572/838
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 994/827,9572/838, numerators are 994,9572
Denominators are 827,838
The GCF of 994,9572 is 2 .
LCM of 827,838 is 693026.
The greatest common factor of 994/827,9572/838 = [GCF of 994,9572]/[LCM of 827,838]= 2/693026
Therefore, the GCF of 994/827,9572/838 is 2/693026.
To find the highest common factor of 994,9572, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 9572 are 1, 2, 4, 2393, 4786, 9572
The HCF of 994,9572 is 2.
Lets's calculate GCF of 994,9572
2 | 994, 9572 |
497, 4786 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 9572
:1,2,4,2393,4786,9572
Greatest Common Factor
We found the factors 994,9572 . The biggest common factor number is the GCF number.
So the greatest common factor 994,9572 is 2.
Lets's calculate LCM of 827,838
Given numbers has no common factors except 1. So, there LCM is their product i.e 693026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/693026
Therefore, the GCF of Fractions 994/827,9572/838 is 2/693026
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 827,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,838) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,838) x common factors =1 x 1 = 1
LCM(827,838) = ( 827 × 838 ) / 1
LCM(827,838) = 693026 / 1
LCM(827,838) = 693026
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 994,9572?
The HCF of 994,9572 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 994/827, 9572/838?
Answer: GCF of Numerators as per given numbers 994/827, 9572/838 is
GCF of Numerators i.e. for 994,9572 is 2
LCM of denominators i.e. for 827,838 is 693026.
Thus, GCF of Fractions is 2/693026.Finally, GCF of Fractions for 994/827, 9572/838 is 2/693026.