Use our free GCF of Fractions Calculator tool to compute the GCF of 1216/807, 3611/9967 i.e 1/8043369 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1216/807, 3611/9967.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1216/807,3611/9967
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 1216/807,3611/9967, numerators are 1216,3611
Denominators are 807,9967
The GCF of 1216,3611 is 1 .
LCM of 807,9967 is 8043369.
The greatest common factor of 1216/807,3611/9967 = [GCF of 1216,3611]/[LCM of 807,9967]= 1/8043369
Therefore, the GCF of 1216/807,3611/9967 is 1/8043369.
To find the highest common factor of 1216,3611, we have to find the factors of both numbers and list the highest common factor.
The factors of 1216 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 152, 304, 608, 1216
The factors of 3611 are 1, 23, 157, 3611
The HCF of 1216,3611 is 1.
Lets's calculate GCF of 1216,3611
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1216
:1,2,4,8,16,19,32,38,64,76,152,304,608,1216
Now, list down the factors of 3611
:1,23,157,3611
Greatest Common Factor
We found the factors 1216,3611 . The biggest common factor number is the GCF number.
So the greatest common factor 1216,3611 is 1.
Lets's calculate LCM of 807,9967
Given numbers has no common factors except 1. So, there LCM is their product i.e 8043369
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8043369
Therefore, the GCF of Fractions 1216/807,3611/9967 is 1/8043369
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 807,9967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,9967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,9967) x common factors =1 x 1 = 1
LCM(807,9967) = ( 807 × 9967 ) / 1
LCM(807,9967) = 8043369 / 1
LCM(807,9967) = 8043369
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1216,3611?
The HCF of 1216,3611 is 1
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 1216/807, 3611/9967?
Answer: GCF of Numerators as per given numbers 1216/807, 3611/9967 is
GCF of Numerators i.e. for 1216,3611 is 1
LCM of denominators i.e. for 807,9967 is 8043369.
Thus, GCF of Fractions is 1/8043369.Finally, GCF of Fractions for 1216/807, 3611/9967 is 1/8043369.