Use our free GCF of Fractions Calculator tool to compute the GCF of 629/174, 620/774 i.e 1/22446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 629/174, 620/774.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 629/174,620/774
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 629/174,620/774, numerators are 629,620
Denominators are 174,774
The GCF of 629,620 is 1 .
LCM of 174,774 is 22446.
The greatest common factor of 629/174,620/774 = [GCF of 629,620]/[LCM of 174,774]= 1/22446
Therefore, the GCF of 629/174,620/774 is 1/22446.
To find the highest common factor of 629,620, we have to find the factors of both numbers and list the highest common factor.
The factors of 629 are 1, 17, 37, 629
The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
The HCF of 629,620 is 1.
Lets's calculate GCF of 629,620
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 629
:1,17,37,629
Now, list down the factors of 620
:1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 629,620 . The biggest common factor number is the GCF number.
So the greatest common factor 629,620 is 1.
Lets's calculate LCM of 174,774
2 | 174, 774 |
3 | 87, 387 |
29, 129 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 129 = 22446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22446
Therefore, the GCF of Fractions 629/174,620/774 is 1/22446
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 174,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,774) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(174,774) x common factors =6 x 1 = 6
LCM(174,774) = ( 174 × 774 ) / 6
LCM(174,774) = 134676 / 6
LCM(174,774) = 22446
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 629,620?
The HCF of 629,620 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 629/174, 620/774?
Answer: GCF of Numerators as per given numbers 629/174, 620/774 is
GCF of Numerators i.e. for 629,620 is 1
LCM of denominators i.e. for 174,774 is 22446.
Thus, GCF of Fractions is 1/22446.Finally, GCF of Fractions for 629/174, 620/774 is 1/22446.