Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/843,960/106,712/194
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 58,960,712
Greatest Common Factor of Numerators i.e. GCF of 58,960,712 is 2 .
LCM of Denominators means LCM of 843,106,194 as per the given fractions.
LCM of 843,106,194 is 8667726 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,960,712
2 | 58, 960, 712 |
29, 480, 356 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 58,960,712 . The biggest common factor number is the GCF number.
So the greatest common factor 58,960,712 is 2.
Lets's calculate LCM of 843,106,194
2 | 843, 106, 194 |
843, 53, 97 |
∴ So the LCM of the given numbers is 2 x 843 x 53 x 97 = 8667726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8667726
Therefore, the GCF of Fractions 58/843,960/106,712/194 is 2/8667726
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 843,106,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,106,194) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(843,106,194) x common factors =1 x 2 = 2
LCM(843,106,194) = ( 843 × 106 × 194 ) / 2
LCM(843,106,194) = 17335452 / 2
LCM(843,106,194) = 8667726
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 58/843, 960/106, 712/194?
Answer: GCF of Numerators as per given numbers 58/843, 960/106, 712/194 is
GCF of Numerators i.e. for 58,960,712 is 2
LCM of denominators i.e. for 843,106,194 is 8667726.
Thus, GCF of Fractions is 2/8667726.Finally, GCF of Fractions for 58/843, 960/106, 712/194 is 2/8667726.