Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/56,448/65,958/61
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 1,448,958
Greatest Common Factor of Numerators i.e. GCF of 1,448,958 is 1 .
LCM of Denominators means LCM of 56,65,61 as per the given fractions.
LCM of 56,65,61 is 222040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,448,958
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Greatest Common Factor
We found the factors 1,448,958 . The biggest common factor number is the GCF number.
So the greatest common factor 1,448,958 is 1.
Lets's calculate LCM of 56,65,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 222040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222040
Therefore, the GCF of Fractions 1/56,448/65,958/61 is 1/222040
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 56,65,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,65,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,65,61) x common factors =1 x 1 = 1
LCM(56,65,61) = ( 56 × 65 × 61 ) / 1
LCM(56,65,61) = 222040 / 1
LCM(56,65,61) = 222040
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 1/56, 448/65, 958/61?
Answer: GCF of Numerators as per given numbers 1/56, 448/65, 958/61 is
GCF of Numerators i.e. for 1,448,958 is 1
LCM of denominators i.e. for 56,65,61 is 222040.
Thus, GCF of Fractions is 1/222040.Finally, GCF of Fractions for 1/56, 448/65, 958/61 is 1/222040.