Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3601/53,8340/142
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 3601,8340
Greatest Common Factor of Numerators i.e. GCF of 3601,8340 is 1 .
LCM of Denominators means LCM of 53,142 as per the given fractions.
LCM of 53,142 is 7526 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3601,8340
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3601
List of positive integer factors of 3601 that divides 3601 without a remainder.
1,13,277,3601
Factors of 8340
List of positive integer factors of 8340 that divides 8340 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340
Greatest Common Factor
We found the factors 3601,8340 . The biggest common factor number is the GCF number.
So the greatest common factor 3601,8340 is 1.
Lets's calculate LCM of 53,142
Given numbers has no common factors except 1. So, there LCM is their product i.e 7526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7526
Therefore, the GCF of Fractions 3601/53,8340/142 is 1/7526
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 53,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,142) x common factors =1 x 1 = 1
LCM(53,142) = ( 53 × 142 ) / 1
LCM(53,142) = 7526 / 1
LCM(53,142) = 7526
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 3601/53, 8340/142?
Answer: GCF of Numerators as per given numbers 3601/53, 8340/142 is
GCF of Numerators i.e. for 3601,8340 is 1
LCM of denominators i.e. for 53,142 is 7526.
Thus, GCF of Fractions is 1/7526.Finally, GCF of Fractions for 3601/53, 8340/142 is 1/7526.