Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/36,971/19,841/659
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 70,971,841
Greatest Common Factor of Numerators i.e. GCF of 70,971,841 is 1 .
LCM of Denominators means LCM of 36,19,659 as per the given fractions.
LCM of 36,19,659 is 450756 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,971,841
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 971
List of positive integer factors of 971 that divides 971 without a remainder.
1,971
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Greatest Common Factor
We found the factors 70,971,841 . The biggest common factor number is the GCF number.
So the greatest common factor 70,971,841 is 1.
Lets's calculate LCM of 36,19,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 450756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/450756
Therefore, the GCF of Fractions 70/36,971/19,841/659 is 1/450756
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 36,19,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,19,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(36,19,659) x common factors =1 x 1 = 1
LCM(36,19,659) = ( 36 × 19 × 659 ) / 1
LCM(36,19,659) = 450756 / 1
LCM(36,19,659) = 450756
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 70/36, 971/19, 841/659?
Answer: GCF of Numerators as per given numbers 70/36, 971/19, 841/659 is
GCF of Numerators i.e. for 70,971,841 is 1
LCM of denominators i.e. for 36,19,659 is 450756.
Thus, GCF of Fractions is 1/450756.Finally, GCF of Fractions for 70/36, 971/19, 841/659 is 1/450756.