Use our free GCF of Fractions Calculator tool to compute the GCF of 56/821, 9678/8897 i.e 2/7304437 easily. The following is the detailed procedure to determine the greatest common factor of fractions 56/821, 9678/8897.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 56/821,9678/8897
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 56/821,9678/8897, numerators are 56,9678
Denominators are 821,8897
The GCF of 56,9678 is 2 .
LCM of 821,8897 is 7304437.
The greatest common factor of 56/821,9678/8897 = [GCF of 56,9678]/[LCM of 821,8897]= 2/7304437
Therefore, the GCF of 56/821,9678/8897 is 2/7304437.
To find the highest common factor of 56,9678, we have to find the factors of both numbers and list the highest common factor.
The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
The factors of 9678 are 1, 2, 3, 6, 1613, 3226, 4839, 9678
The HCF of 56,9678 is 2.
Lets's calculate GCF of 56,9678
2 | 56, 9678 |
28, 4839 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 56
:1,2,4,7,8,14,28,56
Now, list down the factors of 9678
:1,2,3,6,1613,3226,4839,9678
Greatest Common Factor
We found the factors 56,9678 . The biggest common factor number is the GCF number.
So the greatest common factor 56,9678 is 2.
Lets's calculate LCM of 821,8897
Given numbers has no common factors except 1. So, there LCM is their product i.e 7304437
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7304437
Therefore, the GCF of Fractions 56/821,9678/8897 is 2/7304437
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 821,8897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,8897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,8897) x common factors =1 x 1 = 1
LCM(821,8897) = ( 821 × 8897 ) / 1
LCM(821,8897) = 7304437 / 1
LCM(821,8897) = 7304437
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 56,9678?
The HCF of 56,9678 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 56/821, 9678/8897?
Answer: GCF of Numerators as per given numbers 56/821, 9678/8897 is
GCF of Numerators i.e. for 56,9678 is 2
LCM of denominators i.e. for 821,8897 is 7304437.
Thus, GCF of Fractions is 2/7304437.Finally, GCF of Fractions for 56/821, 9678/8897 is 2/7304437.