Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 939/44,628/47,726/773
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 939,628,726
Greatest Common Factor of Numerators i.e. GCF of 939,628,726 is 1 .
LCM of Denominators means LCM of 44,47,773 as per the given fractions.
LCM of 44,47,773 is 1598564 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 939,628,726
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 939,628,726 . The biggest common factor number is the GCF number.
So the greatest common factor 939,628,726 is 1.
Lets's calculate LCM of 44,47,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 1598564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1598564
Therefore, the GCF of Fractions 939/44,628/47,726/773 is 1/1598564
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 44,47,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,47,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,47,773) x common factors =1 x 1 = 1
LCM(44,47,773) = ( 44 × 47 × 773 ) / 1
LCM(44,47,773) = 1598564 / 1
LCM(44,47,773) = 1598564
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 939/44, 628/47, 726/773?
Answer: GCF of Numerators as per given numbers 939/44, 628/47, 726/773 is
GCF of Numerators i.e. for 939,628,726 is 1
LCM of denominators i.e. for 44,47,773 is 1598564.
Thus, GCF of Fractions is 1/1598564.Finally, GCF of Fractions for 939/44, 628/47, 726/773 is 1/1598564.