Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 902/38,620/46,658/416
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 902,620,658
Greatest Common Factor of Numerators i.e. GCF of 902,620,658 is 2 .
LCM of Denominators means LCM of 38,46,416 as per the given fractions.
LCM of 38,46,416 is 181792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 902,620,658
2 | 902, 620, 658 |
451, 310, 329 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 902,620,658 . The biggest common factor number is the GCF number.
So the greatest common factor 902,620,658 is 2.
Lets's calculate LCM of 38,46,416
2 | 38, 46, 416 |
19, 23, 208 |
∴ So the LCM of the given numbers is 2 x 19 x 23 x 208 = 181792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/181792
Therefore, the GCF of Fractions 902/38,620/46,658/416 is 2/181792
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 38,46,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,46,416) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(38,46,416) x common factors =2 x 2 = 4
LCM(38,46,416) = ( 38 × 46 × 416 ) / 4
LCM(38,46,416) = 727168 / 4
LCM(38,46,416) = 181792
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 902/38, 620/46, 658/416?
Answer: GCF of Numerators as per given numbers 902/38, 620/46, 658/416 is
GCF of Numerators i.e. for 902,620,658 is 2
LCM of denominators i.e. for 38,46,416 is 181792.
Thus, GCF of Fractions is 2/181792.Finally, GCF of Fractions for 902/38, 620/46, 658/416 is 2/181792.