Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/859,341/837,695/798
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 44,341,695
Greatest Common Factor of Numerators i.e. GCF of 44,341,695 is 1 .
LCM of Denominators means LCM of 859,837,798 as per the given fractions.
LCM of 859,837,798 is 191249478 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 44,341,695
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Greatest Common Factor
We found the factors 44,341,695 . The biggest common factor number is the GCF number.
So the greatest common factor 44,341,695 is 1.
Lets's calculate LCM of 859,837,798
3 | 859, 837, 798 |
859, 279, 266 |
∴ So the LCM of the given numbers is 3 x 859 x 279 x 266 = 191249478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191249478
Therefore, the GCF of Fractions 44/859,341/837,695/798 is 1/191249478
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 859,837,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,837,798) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(859,837,798) x common factors =1 x 3 = 3
LCM(859,837,798) = ( 859 × 837 × 798 ) / 3
LCM(859,837,798) = 573748434 / 3
LCM(859,837,798) = 191249478
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 44/859, 341/837, 695/798?
Answer: GCF of Numerators as per given numbers 44/859, 341/837, 695/798 is
GCF of Numerators i.e. for 44,341,695 is 1
LCM of denominators i.e. for 859,837,798 is 191249478.
Thus, GCF of Fractions is 1/191249478.Finally, GCF of Fractions for 44/859, 341/837, 695/798 is 1/191249478.