Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9759/762,9803/6063
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 9759,9803
Greatest Common Factor of Numerators i.e. GCF of 9759,9803 is 1 .
LCM of Denominators means LCM of 762,6063 as per the given fractions.
LCM of 762,6063 is 1540002 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9759,9803
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9759
List of positive integer factors of 9759 that divides 9759 without a remainder.
1,3,3253,9759
Factors of 9803
List of positive integer factors of 9803 that divides 9803 without a remainder.
1,9803
Greatest Common Factor
We found the factors 9759,9803 . The biggest common factor number is the GCF number.
So the greatest common factor 9759,9803 is 1.
Lets's calculate LCM of 762,6063
3 | 762, 6063 |
254, 2021 |
∴ So the LCM of the given numbers is 3 x 254 x 2021 = 1540002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1540002
Therefore, the GCF of Fractions 9759/762,9803/6063 is 1/1540002
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 762,6063 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,6063) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(762,6063) x common factors =3 x 1 = 3
LCM(762,6063) = ( 762 × 6063 ) / 3
LCM(762,6063) = 4620006 / 3
LCM(762,6063) = 1540002
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 9759/762, 9803/6063?
Answer: GCF of Numerators as per given numbers 9759/762, 9803/6063 is
GCF of Numerators i.e. for 9759,9803 is 1
LCM of denominators i.e. for 762,6063 is 1540002.
Thus, GCF of Fractions is 1/1540002.Finally, GCF of Fractions for 9759/762, 9803/6063 is 1/1540002.