Use our free GCF of Fractions Calculator tool to compute the GCF of 7118/563, 9822/5077 i.e 2/2858351 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7118/563, 9822/5077.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7118/563,9822/5077
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 7118/563,9822/5077, numerators are 7118,9822
Denominators are 563,5077
The GCF of 7118,9822 is 2 .
LCM of 563,5077 is 2858351.
The greatest common factor of 7118/563,9822/5077 = [GCF of 7118,9822]/[LCM of 563,5077]= 2/2858351
Therefore, the GCF of 7118/563,9822/5077 is 2/2858351.
To find the highest common factor of 7118,9822, we have to find the factors of both numbers and list the highest common factor.
The factors of 7118 are 1, 2, 3559, 7118
The factors of 9822 are 1, 2, 3, 6, 1637, 3274, 4911, 9822
The HCF of 7118,9822 is 2.
Lets's calculate GCF of 7118,9822
2 | 7118, 9822 |
3559, 4911 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 7118
:1,2,3559,7118
Now, list down the factors of 9822
:1,2,3,6,1637,3274,4911,9822
Greatest Common Factor
We found the factors 7118,9822 . The biggest common factor number is the GCF number.
So the greatest common factor 7118,9822 is 2.
Lets's calculate LCM of 563,5077
Given numbers has no common factors except 1. So, there LCM is their product i.e 2858351
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2858351
Therefore, the GCF of Fractions 7118/563,9822/5077 is 2/2858351
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 563,5077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,5077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,5077) x common factors =1 x 1 = 1
LCM(563,5077) = ( 563 × 5077 ) / 1
LCM(563,5077) = 2858351 / 1
LCM(563,5077) = 2858351
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7118,9822?
The HCF of 7118,9822 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 7118/563, 9822/5077?
Answer: GCF of Numerators as per given numbers 7118/563, 9822/5077 is
GCF of Numerators i.e. for 7118,9822 is 2
LCM of denominators i.e. for 563,5077 is 2858351.
Thus, GCF of Fractions is 2/2858351.Finally, GCF of Fractions for 7118/563, 9822/5077 is 2/2858351.