Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3120/854,4854/561
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 3120,4854
Greatest Common Factor of Numerators i.e. GCF of 3120,4854 is 6 .
LCM of Denominators means LCM of 854,561 as per the given fractions.
LCM of 854,561 is 479094 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3120,4854
2 | 3120, 4854 |
3 | 1560, 2427 |
520, 809 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 3120
List of positive integer factors of 3120 that divides 3120 without a remainder.
1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,39,40,48,52,60,65,78,80,104,120,130,156,195,208,240,260,312,390,520,624,780,1040,1560,3120
Factors of 4854
List of positive integer factors of 4854 that divides 4854 without a remainder.
1,2,3,6,809,1618,2427,4854
Greatest Common Factor
We found the factors 3120,4854 . The biggest common factor number is the GCF number.
So the greatest common factor 3120,4854 is 6.
Lets's calculate LCM of 854,561
Given numbers has no common factors except 1. So, there LCM is their product i.e 479094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/479094
Therefore, the GCF of Fractions 3120/854,4854/561 is 6/479094
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 854,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(854,561) x common factors =1 x 1 = 1
LCM(854,561) = ( 854 × 561 ) / 1
LCM(854,561) = 479094 / 1
LCM(854,561) = 479094
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 3120/854, 4854/561?
Answer: GCF of Numerators as per given numbers 3120/854, 4854/561 is
GCF of Numerators i.e. for 3120,4854 is 6
LCM of denominators i.e. for 854,561 is 479094.
Thus, GCF of Fractions is 6/479094.Finally, GCF of Fractions for 3120/854, 4854/561 is 6/479094.