Use our free GCF of Fractions Calculator tool to compute the GCF of 626/933, 492/790 i.e 2/737070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 626/933, 492/790.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 626/933,492/790
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 626/933,492/790, numerators are 626,492
Denominators are 933,790
The GCF of 626,492 is 2 .
LCM of 933,790 is 737070.
The greatest common factor of 626/933,492/790 = [GCF of 626,492]/[LCM of 933,790]= 2/737070
Therefore, the GCF of 626/933,492/790 is 2/737070.
To find the highest common factor of 626,492, we have to find the factors of both numbers and list the highest common factor.
The factors of 626 are 1, 2, 313, 626
The factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
The HCF of 626,492 is 2.
Lets's calculate GCF of 626,492
2 | 626, 492 |
313, 246 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 626
:1,2,313,626
Now, list down the factors of 492
:1,2,3,4,6,12,41,82,123,164,246,492
Greatest Common Factor
We found the factors 626,492 . The biggest common factor number is the GCF number.
So the greatest common factor 626,492 is 2.
Lets's calculate LCM of 933,790
Given numbers has no common factors except 1. So, there LCM is their product i.e 737070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/737070
Therefore, the GCF of Fractions 626/933,492/790 is 2/737070
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 933,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,790) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,790) x common factors =1 x 1 = 1
LCM(933,790) = ( 933 × 790 ) / 1
LCM(933,790) = 737070 / 1
LCM(933,790) = 737070
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 626,492?
The HCF of 626,492 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 626/933, 492/790?
Answer: GCF of Numerators as per given numbers 626/933, 492/790 is
GCF of Numerators i.e. for 626,492 is 2
LCM of denominators i.e. for 933,790 is 737070.
Thus, GCF of Fractions is 2/737070.Finally, GCF of Fractions for 626/933, 492/790 is 2/737070.