Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 970/85,115/38,235/730
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 970,115,235
Greatest Common Factor of Numerators i.e. GCF of 970,115,235 is 5 .
LCM of Denominators means LCM of 85,38,730 as per the given fractions.
LCM of 85,38,730 is 235790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 970,115,235
5 | 970, 115, 235 |
194, 23, 47 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Greatest Common Factor
We found the factors 970,115,235 . The biggest common factor number is the GCF number.
So the greatest common factor 970,115,235 is 5.
Lets's calculate LCM of 85,38,730
2 | 85, 38, 730 |
5 | 85, 19, 365 |
17, 19, 73 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 19 x 73 = 235790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/235790
Therefore, the GCF of Fractions 970/85,115/38,235/730 is 5/235790
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 85,38,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,38,730) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(85,38,730) x common factors =1 x 10 = 10
LCM(85,38,730) = ( 85 × 38 × 730 ) / 10
LCM(85,38,730) = 2357900 / 10
LCM(85,38,730) = 235790
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 970/85, 115/38, 235/730?
Answer: GCF of Numerators as per given numbers 970/85, 115/38, 235/730 is
GCF of Numerators i.e. for 970,115,235 is 5
LCM of denominators i.e. for 85,38,730 is 235790.
Thus, GCF of Fractions is 5/235790.Finally, GCF of Fractions for 970/85, 115/38, 235/730 is 5/235790.