Use our free GCF of Fractions Calculator tool to compute the GCF of 616/401, 9678/5885 i.e 2/2359885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 616/401, 9678/5885.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 616/401,9678/5885
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 616/401,9678/5885, numerators are 616,9678
Denominators are 401,5885
The GCF of 616,9678 is 2 .
LCM of 401,5885 is 2359885.
The greatest common factor of 616/401,9678/5885 = [GCF of 616,9678]/[LCM of 401,5885]= 2/2359885
Therefore, the GCF of 616/401,9678/5885 is 2/2359885.
To find the highest common factor of 616,9678, we have to find the factors of both numbers and list the highest common factor.
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The factors of 9678 are 1, 2, 3, 6, 1613, 3226, 4839, 9678
The HCF of 616,9678 is 2.
Lets's calculate GCF of 616,9678
2 | 616, 9678 |
308, 4839 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Now, list down the factors of 9678
:1,2,3,6,1613,3226,4839,9678
Greatest Common Factor
We found the factors 616,9678 . The biggest common factor number is the GCF number.
So the greatest common factor 616,9678 is 2.
Lets's calculate LCM of 401,5885
Given numbers has no common factors except 1. So, there LCM is their product i.e 2359885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2359885
Therefore, the GCF of Fractions 616/401,9678/5885 is 2/2359885
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 401,5885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,5885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,5885) x common factors =1 x 1 = 1
LCM(401,5885) = ( 401 × 5885 ) / 1
LCM(401,5885) = 2359885 / 1
LCM(401,5885) = 2359885
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 616,9678?
The HCF of 616,9678 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 616/401, 9678/5885?
Answer: GCF of Numerators as per given numbers 616/401, 9678/5885 is
GCF of Numerators i.e. for 616,9678 is 2
LCM of denominators i.e. for 401,5885 is 2359885.
Thus, GCF of Fractions is 2/2359885.Finally, GCF of Fractions for 616/401, 9678/5885 is 2/2359885.