Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 41/58,77/90,258/697
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 41,77,258
Greatest Common Factor of Numerators i.e. GCF of 41,77,258 is 1 .
LCM of Denominators means LCM of 58,90,697 as per the given fractions.
LCM of 58,90,697 is 1819170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 41,77,258
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 41,77,258 . The biggest common factor number is the GCF number.
So the greatest common factor 41,77,258 is 1.
Lets's calculate LCM of 58,90,697
2 | 58, 90, 697 |
29, 45, 697 |
∴ So the LCM of the given numbers is 2 x 29 x 45 x 697 = 1819170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1819170
Therefore, the GCF of Fractions 41/58,77/90,258/697 is 1/1819170
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 58,90,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,90,697) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,90,697) x common factors =1 x 2 = 2
LCM(58,90,697) = ( 58 × 90 × 697 ) / 2
LCM(58,90,697) = 3638340 / 2
LCM(58,90,697) = 1819170
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 41/58, 77/90, 258/697?
Answer: GCF of Numerators as per given numbers 41/58, 77/90, 258/697 is
GCF of Numerators i.e. for 41,77,258 is 1
LCM of denominators i.e. for 58,90,697 is 1819170.
Thus, GCF of Fractions is 1/1819170.Finally, GCF of Fractions for 41/58, 77/90, 258/697 is 1/1819170.