Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/85,86/40,90/970,244/196
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 8,86,90,244
Greatest Common Factor of Numerators i.e. GCF of 8,86,90,244 is 2 .
LCM of Denominators means LCM of 85,40,970,196 as per the given fractions.
LCM of 85,40,970,196 is 3232040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,86,90,244
2 | 8, 86, 90, 244 |
4, 43, 45, 122 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 8,86,90,244 . The biggest common factor number is the GCF number.
So the greatest common factor 8,86,90,244 is 2.
Lets's calculate LCM of 85,40,970,196
2 | 85, 40, 970, 196 |
2 | 85, 20, 485, 98 |
5 | 85, 10, 485, 49 |
17, 2, 97, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 2 x 97 x 49 = 3232040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3232040
Therefore, the GCF of Fractions 8/85,86/40,90/970,244/196 is 2/3232040
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 85,40,970,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,40,970,196) = 1
common factors(in case of two or more numbers have common factors) = 200
GCF(85,40,970,196) x common factors =1 x 200 = 200
LCM(85,40,970,196) = ( 85 × 40 × 970 × 196 ) / 200
LCM(85,40,970,196) = 646408000 / 200
LCM(85,40,970,196) = 3232040
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 8/85, 86/40, 90/970, 244/196?
Answer: GCF of Numerators as per given numbers 8/85, 86/40, 90/970, 244/196 is
GCF of Numerators i.e. for 8,86,90,244 is 2
LCM of denominators i.e. for 85,40,970,196 is 3232040.
Thus, GCF of Fractions is 2/3232040.Finally, GCF of Fractions for 8/85, 86/40, 90/970, 244/196 is 2/3232040.