Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 898/43,560/26,572/395
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 898,560,572
Greatest Common Factor of Numerators i.e. GCF of 898,560,572 is 2 .
LCM of Denominators means LCM of 43,26,395 as per the given fractions.
LCM of 43,26,395 is 441610 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 898,560,572
2 | 898, 560, 572 |
449, 280, 286 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 898,560,572 . The biggest common factor number is the GCF number.
So the greatest common factor 898,560,572 is 2.
Lets's calculate LCM of 43,26,395
Given numbers has no common factors except 1. So, there LCM is their product i.e 441610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/441610
Therefore, the GCF of Fractions 898/43,560/26,572/395 is 2/441610
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 43,26,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,26,395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,26,395) x common factors =1 x 1 = 1
LCM(43,26,395) = ( 43 × 26 × 395 ) / 1
LCM(43,26,395) = 441610 / 1
LCM(43,26,395) = 441610
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 898/43, 560/26, 572/395?
Answer: GCF of Numerators as per given numbers 898/43, 560/26, 572/395 is
GCF of Numerators i.e. for 898,560,572 is 2
LCM of denominators i.e. for 43,26,395 is 441610.
Thus, GCF of Fractions is 2/441610.Finally, GCF of Fractions for 898/43, 560/26, 572/395 is 2/441610.