Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 638/38,914/93,870/792
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 638,914,870
Greatest Common Factor of Numerators i.e. GCF of 638,914,870 is 2 .
LCM of Denominators means LCM of 38,93,792 as per the given fractions.
LCM of 38,93,792 is 466488 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 638,914,870
2 | 638, 914, 870 |
319, 457, 435 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 638,914,870 . The biggest common factor number is the GCF number.
So the greatest common factor 638,914,870 is 2.
Lets's calculate LCM of 38,93,792
2 | 38, 93, 792 |
3 | 19, 93, 396 |
19, 31, 132 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 31 x 132 = 466488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/466488
Therefore, the GCF of Fractions 638/38,914/93,870/792 is 2/466488
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 38,93,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,93,792) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(38,93,792) x common factors =1 x 6 = 6
LCM(38,93,792) = ( 38 × 93 × 792 ) / 6
LCM(38,93,792) = 2798928 / 6
LCM(38,93,792) = 466488
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 638/38, 914/93, 870/792?
Answer: GCF of Numerators as per given numbers 638/38, 914/93, 870/792 is
GCF of Numerators i.e. for 638,914,870 is 2
LCM of denominators i.e. for 38,93,792 is 466488.
Thus, GCF of Fractions is 2/466488.Finally, GCF of Fractions for 638/38, 914/93, 870/792 is 2/466488.