Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/952,30/207,250/391
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 84,30,250
Greatest Common Factor of Numerators i.e. GCF of 84,30,250 is 2 .
LCM of Denominators means LCM of 952,207,391 as per the given fractions.
LCM of 952,207,391 is 197064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,30,250
2 | 84, 30, 250 |
42, 15, 125 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 84,30,250 . The biggest common factor number is the GCF number.
So the greatest common factor 84,30,250 is 2.
Lets's calculate LCM of 952,207,391
17 | 952, 207, 391 |
23 | 56, 207, 23 |
56, 9, 1 |
∴ So the LCM of the given numbers is 17 x 23 x 56 x 9 x 1 = 197064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/197064
Therefore, the GCF of Fractions 84/952,30/207,250/391 is 2/197064
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 952,207,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,207,391) = 1
common factors(in case of two or more numbers have common factors) = 391
GCF(952,207,391) x common factors =1 x 391 = 391
LCM(952,207,391) = ( 952 × 207 × 391 ) / 391
LCM(952,207,391) = 77052024 / 391
LCM(952,207,391) = 197064
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 84/952, 30/207, 250/391?
Answer: GCF of Numerators as per given numbers 84/952, 30/207, 250/391 is
GCF of Numerators i.e. for 84,30,250 is 2
LCM of denominators i.e. for 952,207,391 is 197064.
Thus, GCF of Fractions is 2/197064.Finally, GCF of Fractions for 84/952, 30/207, 250/391 is 2/197064.