Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2484/951,9711/662
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 2484,9711
Greatest Common Factor of Numerators i.e. GCF of 2484,9711 is 9 .
LCM of Denominators means LCM of 951,662 as per the given fractions.
LCM of 951,662 is 629562 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2484,9711
3 | 2484, 9711 |
3 | 828, 3237 |
276, 1079 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 2484
List of positive integer factors of 2484 that divides 2484 without a remainder.
1,2,3,4,6,9,12,18,23,27,36,46,54,69,92,108,138,207,276,414,621,828,1242,2484
Factors of 9711
List of positive integer factors of 9711 that divides 9711 without a remainder.
1,3,9,13,39,83,117,249,747,1079,3237,9711
Greatest Common Factor
We found the factors 2484,9711 . The biggest common factor number is the GCF number.
So the greatest common factor 2484,9711 is 9.
Lets's calculate LCM of 951,662
Given numbers has no common factors except 1. So, there LCM is their product i.e 629562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/629562
Therefore, the GCF of Fractions 2484/951,9711/662 is 9/629562
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 951,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(951,662) x common factors =1 x 1 = 1
LCM(951,662) = ( 951 × 662 ) / 1
LCM(951,662) = 629562 / 1
LCM(951,662) = 629562
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 2484/951, 9711/662?
Answer: GCF of Numerators as per given numbers 2484/951, 9711/662 is
GCF of Numerators i.e. for 2484,9711 is 9
LCM of denominators i.e. for 951,662 is 629562.
Thus, GCF of Fractions is 9/629562.Finally, GCF of Fractions for 2484/951, 9711/662 is 9/629562.