Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 626/39,770/39,984/604
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 626,770,984
Greatest Common Factor of Numerators i.e. GCF of 626,770,984 is 2 .
LCM of Denominators means LCM of 39,39,604 as per the given fractions.
LCM of 39,39,604 is 23556 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 626,770,984
2 | 626, 770, 984 |
313, 385, 492 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 626,770,984 . The biggest common factor number is the GCF number.
So the greatest common factor 626,770,984 is 2.
Lets's calculate LCM of 39,39,604
3 | 39, 39, 604 |
13 | 13, 13, 604 |
1, 1, 604 |
∴ So the LCM of the given numbers is 3 x 13 x 1 x 1 x 604 = 23556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23556
Therefore, the GCF of Fractions 626/39,770/39,984/604 is 2/23556
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 39,39,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,39,604) = 1
common factors(in case of two or more numbers have common factors) = 39
GCF(39,39,604) x common factors =1 x 39 = 39
LCM(39,39,604) = ( 39 × 39 × 604 ) / 39
LCM(39,39,604) = 918684 / 39
LCM(39,39,604) = 23556
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 626/39, 770/39, 984/604?
Answer: GCF of Numerators as per given numbers 626/39, 770/39, 984/604 is
GCF of Numerators i.e. for 626,770,984 is 2
LCM of denominators i.e. for 39,39,604 is 23556.
Thus, GCF of Fractions is 2/23556.Finally, GCF of Fractions for 626/39, 770/39, 984/604 is 2/23556.