Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 365/37,370/46,751/841
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 365,370,751
Greatest Common Factor of Numerators i.e. GCF of 365,370,751 is 1 .
LCM of Denominators means LCM of 37,46,841 as per the given fractions.
LCM of 37,46,841 is 1431382 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 365,370,751
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Greatest Common Factor
We found the factors 365,370,751 . The biggest common factor number is the GCF number.
So the greatest common factor 365,370,751 is 1.
Lets's calculate LCM of 37,46,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 1431382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1431382
Therefore, the GCF of Fractions 365/37,370/46,751/841 is 1/1431382
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 37,46,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,46,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,46,841) x common factors =1 x 1 = 1
LCM(37,46,841) = ( 37 × 46 × 841 ) / 1
LCM(37,46,841) = 1431382 / 1
LCM(37,46,841) = 1431382
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 365/37, 370/46, 751/841?
Answer: GCF of Numerators as per given numbers 365/37, 370/46, 751/841 is
GCF of Numerators i.e. for 365,370,751 is 1
LCM of denominators i.e. for 37,46,841 is 1431382.
Thus, GCF of Fractions is 1/1431382.Finally, GCF of Fractions for 365/37, 370/46, 751/841 is 1/1431382.