Use our free GCF of Fractions Calculator tool to compute the GCF of 8024/637, 6726/1198 i.e 118/763126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8024/637, 6726/1198.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8024/637,6726/1198
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 8024/637,6726/1198, numerators are 8024,6726
Denominators are 637,1198
The GCF of 8024,6726 is 118 .
LCM of 637,1198 is 763126.
The greatest common factor of 8024/637,6726/1198 = [GCF of 8024,6726]/[LCM of 637,1198]= 118/763126
Therefore, the GCF of 8024/637,6726/1198 is 118/763126.
To find the highest common factor of 8024,6726, we have to find the factors of both numbers and list the highest common factor.
The factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024
The factors of 6726 are 1, 2, 3, 6, 19, 38, 57, 59, 114, 118, 177, 354, 1121, 2242, 3363, 6726
The HCF of 8024,6726 is 118.
Lets's calculate GCF of 8024,6726
2 | 8024, 6726 |
59 | 4012, 3363 |
68, 57 |
∴ So the GCF of the given numbers is 2 x 59 = 118
Now, list down the factors of 8024
:1,2,4,8,17,34,59,68,118,136,236,472,1003,2006,4012,8024
Now, list down the factors of 6726
:1,2,3,6,19,38,57,59,114,118,177,354,1121,2242,3363,6726
Greatest Common Factor
We found the factors 8024,6726 . The biggest common factor number is the GCF number.
So the greatest common factor 8024,6726 is 118.
Lets's calculate LCM of 637,1198
Given numbers has no common factors except 1. So, there LCM is their product i.e 763126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 118/763126
Therefore, the GCF of Fractions 8024/637,6726/1198 is 118/763126
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 637,1198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,1198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,1198) x common factors =1 x 1 = 1
LCM(637,1198) = ( 637 × 1198 ) / 1
LCM(637,1198) = 763126 / 1
LCM(637,1198) = 763126
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8024,6726?
The HCF of 8024,6726 is 118
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 8024/637, 6726/1198?
Answer: GCF of Numerators as per given numbers 8024/637, 6726/1198 is
GCF of Numerators i.e. for 8024,6726 is 118
LCM of denominators i.e. for 637,1198 is 763126.
Thus, GCF of Fractions is 118/763126.Finally, GCF of Fractions for 8024/637, 6726/1198 is 118/763126.