Use our free GCF of Fractions Calculator tool to compute the GCF of 643/624, 438/334 i.e 1/104208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 643/624, 438/334.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 643/624,438/334
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 643/624,438/334, numerators are 643,438
Denominators are 624,334
The GCF of 643,438 is 1 .
LCM of 624,334 is 104208.
The greatest common factor of 643/624,438/334 = [GCF of 643,438]/[LCM of 624,334]= 1/104208
Therefore, the GCF of 643/624,438/334 is 1/104208.
To find the highest common factor of 643,438, we have to find the factors of both numbers and list the highest common factor.
The factors of 643 are 1, 643
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438
The HCF of 643,438 is 1.
Lets's calculate GCF of 643,438
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 643
:1,643
Now, list down the factors of 438
:1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 643,438 . The biggest common factor number is the GCF number.
So the greatest common factor 643,438 is 1.
Lets's calculate LCM of 624,334
2 | 624, 334 |
312, 167 |
∴ So the LCM of the given numbers is 2 x 312 x 167 = 104208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104208
Therefore, the GCF of Fractions 643/624,438/334 is 1/104208
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 624,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,334) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(624,334) x common factors =2 x 1 = 2
LCM(624,334) = ( 624 × 334 ) / 2
LCM(624,334) = 208416 / 2
LCM(624,334) = 104208
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 643,438?
The HCF of 643,438 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 643/624, 438/334?
Answer: GCF of Numerators as per given numbers 643/624, 438/334 is
GCF of Numerators i.e. for 643,438 is 1
LCM of denominators i.e. for 624,334 is 104208.
Thus, GCF of Fractions is 1/104208.Finally, GCF of Fractions for 643/624, 438/334 is 1/104208.