Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2964/976,7382/809
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 2964,7382
Greatest Common Factor of Numerators i.e. GCF of 2964,7382 is 2 .
LCM of Denominators means LCM of 976,809 as per the given fractions.
LCM of 976,809 is 789584 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2964,7382
2 | 2964, 7382 |
1482, 3691 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2964
List of positive integer factors of 2964 that divides 2964 without a remainder.
1,2,3,4,6,12,13,19,26,38,39,52,57,76,78,114,156,228,247,494,741,988,1482,2964
Factors of 7382
List of positive integer factors of 7382 that divides 7382 without a remainder.
1,2,3691,7382
Greatest Common Factor
We found the factors 2964,7382 . The biggest common factor number is the GCF number.
So the greatest common factor 2964,7382 is 2.
Lets's calculate LCM of 976,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 789584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/789584
Therefore, the GCF of Fractions 2964/976,7382/809 is 2/789584
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 976,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(976,809) x common factors =1 x 1 = 1
LCM(976,809) = ( 976 × 809 ) / 1
LCM(976,809) = 789584 / 1
LCM(976,809) = 789584
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 2964/976, 7382/809?
Answer: GCF of Numerators as per given numbers 2964/976, 7382/809 is
GCF of Numerators i.e. for 2964,7382 is 2
LCM of denominators i.e. for 976,809 is 789584.
Thus, GCF of Fractions is 2/789584.Finally, GCF of Fractions for 2964/976, 7382/809 is 2/789584.