Use our free GCF of Fractions Calculator tool to compute the GCF of 334/683, 428/762 i.e 2/520446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 334/683, 428/762.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 334/683,428/762
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 334/683,428/762, numerators are 334,428
Denominators are 683,762
The GCF of 334,428 is 2 .
LCM of 683,762 is 520446.
The greatest common factor of 334/683,428/762 = [GCF of 334,428]/[LCM of 683,762]= 2/520446
Therefore, the GCF of 334/683,428/762 is 2/520446.
To find the highest common factor of 334,428, we have to find the factors of both numbers and list the highest common factor.
The factors of 334 are 1, 2, 167, 334
The factors of 428 are 1, 2, 4, 107, 214, 428
The HCF of 334,428 is 2.
Lets's calculate GCF of 334,428
2 | 334, 428 |
167, 214 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 334
:1,2,167,334
Now, list down the factors of 428
:1,2,4,107,214,428
Greatest Common Factor
We found the factors 334,428 . The biggest common factor number is the GCF number.
So the greatest common factor 334,428 is 2.
Lets's calculate LCM of 683,762
Given numbers has no common factors except 1. So, there LCM is their product i.e 520446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/520446
Therefore, the GCF of Fractions 334/683,428/762 is 2/520446
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 683,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,762) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,762) x common factors =1 x 1 = 1
LCM(683,762) = ( 683 × 762 ) / 1
LCM(683,762) = 520446 / 1
LCM(683,762) = 520446
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 334,428?
The HCF of 334,428 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 334/683, 428/762?
Answer: GCF of Numerators as per given numbers 334/683, 428/762 is
GCF of Numerators i.e. for 334,428 is 2
LCM of denominators i.e. for 683,762 is 520446.
Thus, GCF of Fractions is 2/520446.Finally, GCF of Fractions for 334/683, 428/762 is 2/520446.