Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9520/265,4381/6459
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 9520,4381
Greatest Common Factor of Numerators i.e. GCF of 9520,4381 is 1 .
LCM of Denominators means LCM of 265,6459 as per the given fractions.
LCM of 265,6459 is 1711635 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9520,4381
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9520
List of positive integer factors of 9520 that divides 9520 without a remainder.
1,2,4,5,7,8,10,14,16,17,20,28,34,35,40,56,68,70,80,85,112,119,136,140,170,238,272,280,340,476,560,595,680,952,1190,1360,1904,2380,4760,9520
Factors of 4381
List of positive integer factors of 4381 that divides 4381 without a remainder.
1,13,337,4381
Greatest Common Factor
We found the factors 9520,4381 . The biggest common factor number is the GCF number.
So the greatest common factor 9520,4381 is 1.
Lets's calculate LCM of 265,6459
Given numbers has no common factors except 1. So, there LCM is their product i.e 1711635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1711635
Therefore, the GCF of Fractions 9520/265,4381/6459 is 1/1711635
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 265,6459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,6459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(265,6459) x common factors =1 x 1 = 1
LCM(265,6459) = ( 265 × 6459 ) / 1
LCM(265,6459) = 1711635 / 1
LCM(265,6459) = 1711635
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 9520/265, 4381/6459?
Answer: GCF of Numerators as per given numbers 9520/265, 4381/6459 is
GCF of Numerators i.e. for 9520,4381 is 1
LCM of denominators i.e. for 265,6459 is 1711635.
Thus, GCF of Fractions is 1/1711635.Finally, GCF of Fractions for 9520/265, 4381/6459 is 1/1711635.