Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5652/332,7807/1645
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 5652,7807
Greatest Common Factor of Numerators i.e. GCF of 5652,7807 is 1 .
LCM of Denominators means LCM of 332,1645 as per the given fractions.
LCM of 332,1645 is 546140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5652,7807
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5652
List of positive integer factors of 5652 that divides 5652 without a remainder.
1,2,3,4,6,9,12,18,36,157,314,471,628,942,1413,1884,2826,5652
Factors of 7807
List of positive integer factors of 7807 that divides 7807 without a remainder.
1,37,211,7807
Greatest Common Factor
We found the factors 5652,7807 . The biggest common factor number is the GCF number.
So the greatest common factor 5652,7807 is 1.
Lets's calculate LCM of 332,1645
Given numbers has no common factors except 1. So, there LCM is their product i.e 546140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/546140
Therefore, the GCF of Fractions 5652/332,7807/1645 is 1/546140
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 332,1645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,1645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,1645) x common factors =1 x 1 = 1
LCM(332,1645) = ( 332 × 1645 ) / 1
LCM(332,1645) = 546140 / 1
LCM(332,1645) = 546140
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 5652/332, 7807/1645?
Answer: GCF of Numerators as per given numbers 5652/332, 7807/1645 is
GCF of Numerators i.e. for 5652,7807 is 1
LCM of denominators i.e. for 332,1645 is 546140.
Thus, GCF of Fractions is 1/546140.Finally, GCF of Fractions for 5652/332, 7807/1645 is 1/546140.