Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3911/82,6580/439
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 3911,6580
Greatest Common Factor of Numerators i.e. GCF of 3911,6580 is 1 .
LCM of Denominators means LCM of 82,439 as per the given fractions.
LCM of 82,439 is 35998 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3911,6580
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3911
List of positive integer factors of 3911 that divides 3911 without a remainder.
1,3911
Factors of 6580
List of positive integer factors of 6580 that divides 6580 without a remainder.
1,2,4,5,7,10,14,20,28,35,47,70,94,140,188,235,329,470,658,940,1316,1645,3290,6580
Greatest Common Factor
We found the factors 3911,6580 . The biggest common factor number is the GCF number.
So the greatest common factor 3911,6580 is 1.
Lets's calculate LCM of 82,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 35998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35998
Therefore, the GCF of Fractions 3911/82,6580/439 is 1/35998
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 82,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,439) x common factors =1 x 1 = 1
LCM(82,439) = ( 82 × 439 ) / 1
LCM(82,439) = 35998 / 1
LCM(82,439) = 35998
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 3911/82, 6580/439?
Answer: GCF of Numerators as per given numbers 3911/82, 6580/439 is
GCF of Numerators i.e. for 3911,6580 is 1
LCM of denominators i.e. for 82,439 is 35998.
Thus, GCF of Fractions is 1/35998.Finally, GCF of Fractions for 3911/82, 6580/439 is 1/35998.