Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 845/58,662/43,364/648
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 845,662,364
Greatest Common Factor of Numerators i.e. GCF of 845,662,364 is 1 .
LCM of Denominators means LCM of 58,43,648 as per the given fractions.
LCM of 58,43,648 is 808056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 845,662,364
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 845,662,364 . The biggest common factor number is the GCF number.
So the greatest common factor 845,662,364 is 1.
Lets's calculate LCM of 58,43,648
2 | 58, 43, 648 |
29, 43, 324 |
∴ So the LCM of the given numbers is 2 x 29 x 43 x 324 = 808056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/808056
Therefore, the GCF of Fractions 845/58,662/43,364/648 is 1/808056
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 58,43,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,43,648) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,43,648) x common factors =1 x 2 = 2
LCM(58,43,648) = ( 58 × 43 × 648 ) / 2
LCM(58,43,648) = 1616112 / 2
LCM(58,43,648) = 808056
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 845/58, 662/43, 364/648?
Answer: GCF of Numerators as per given numbers 845/58, 662/43, 364/648 is
GCF of Numerators i.e. for 845,662,364 is 1
LCM of denominators i.e. for 58,43,648 is 808056.
Thus, GCF of Fractions is 1/808056.Finally, GCF of Fractions for 845/58, 662/43, 364/648 is 1/808056.