Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 86/77,40/22,78/93,94/819
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 86,40,78,94
Greatest Common Factor of Numerators i.e. GCF of 86,40,78,94 is 2 .
LCM of Denominators means LCM of 77,22,93,819 as per the given fractions.
LCM of 77,22,93,819 is 558558 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 86,40,78,94
2 | 86, 40, 78, 94 |
43, 20, 39, 47 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Greatest Common Factor
We found the factors 86,40,78,94 . The biggest common factor number is the GCF number.
So the greatest common factor 86,40,78,94 is 2.
Lets's calculate LCM of 77,22,93,819
3 | 77, 22, 93, 819 |
7 | 77, 22, 31, 273 |
11 | 11, 22, 31, 39 |
1, 2, 31, 39 |
∴ So the LCM of the given numbers is 3 x 7 x 11 x 1 x 2 x 31 x 39 = 558558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/558558
Therefore, the GCF of Fractions 86/77,40/22,78/93,94/819 is 2/558558
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 77,22,93,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,22,93,819) = 1
common factors(in case of two or more numbers have common factors) = 231
GCF(77,22,93,819) x common factors =1 x 231 = 231
LCM(77,22,93,819) = ( 77 × 22 × 93 × 819 ) / 231
LCM(77,22,93,819) = 129026898 / 231
LCM(77,22,93,819) = 558558
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 86/77, 40/22, 78/93, 94/819?
Answer: GCF of Numerators as per given numbers 86/77, 40/22, 78/93, 94/819 is
GCF of Numerators i.e. for 86,40,78,94 is 2
LCM of denominators i.e. for 77,22,93,819 is 558558.
Thus, GCF of Fractions is 2/558558.Finally, GCF of Fractions for 86/77, 40/22, 78/93, 94/819 is 2/558558.