Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9804/69,8885/602
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 9804,8885
Greatest Common Factor of Numerators i.e. GCF of 9804,8885 is 1 .
LCM of Denominators means LCM of 69,602 as per the given fractions.
LCM of 69,602 is 41538 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9804,8885
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9804
List of positive integer factors of 9804 that divides 9804 without a remainder.
1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804
Factors of 8885
List of positive integer factors of 8885 that divides 8885 without a remainder.
1,5,1777,8885
Greatest Common Factor
We found the factors 9804,8885 . The biggest common factor number is the GCF number.
So the greatest common factor 9804,8885 is 1.
Lets's calculate LCM of 69,602
Given numbers has no common factors except 1. So, there LCM is their product i.e 41538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41538
Therefore, the GCF of Fractions 9804/69,8885/602 is 1/41538
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 69,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,602) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,602) x common factors =1 x 1 = 1
LCM(69,602) = ( 69 × 602 ) / 1
LCM(69,602) = 41538 / 1
LCM(69,602) = 41538
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 9804/69, 8885/602?
Answer: GCF of Numerators as per given numbers 9804/69, 8885/602 is
GCF of Numerators i.e. for 9804,8885 is 1
LCM of denominators i.e. for 69,602 is 41538.
Thus, GCF of Fractions is 1/41538.Finally, GCF of Fractions for 9804/69, 8885/602 is 1/41538.