Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3152/479,3068/9024
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 3152,3068
Greatest Common Factor of Numerators i.e. GCF of 3152,3068 is 4 .
LCM of Denominators means LCM of 479,9024 as per the given fractions.
LCM of 479,9024 is 4322496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3152,3068
2 | 3152, 3068 |
2 | 1576, 1534 |
788, 767 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3152
List of positive integer factors of 3152 that divides 3152 without a remainder.
1,2,4,8,16,197,394,788,1576,3152
Factors of 3068
List of positive integer factors of 3068 that divides 3068 without a remainder.
1,2,4,13,26,52,59,118,236,767,1534,3068
Greatest Common Factor
We found the factors 3152,3068 . The biggest common factor number is the GCF number.
So the greatest common factor 3152,3068 is 4.
Lets's calculate LCM of 479,9024
Given numbers has no common factors except 1. So, there LCM is their product i.e 4322496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4322496
Therefore, the GCF of Fractions 3152/479,3068/9024 is 4/4322496
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 479,9024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,9024) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,9024) x common factors =1 x 1 = 1
LCM(479,9024) = ( 479 × 9024 ) / 1
LCM(479,9024) = 4322496 / 1
LCM(479,9024) = 4322496
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 3152/479, 3068/9024?
Answer: GCF of Numerators as per given numbers 3152/479, 3068/9024 is
GCF of Numerators i.e. for 3152,3068 is 4
LCM of denominators i.e. for 479,9024 is 4322496.
Thus, GCF of Fractions is 4/4322496.Finally, GCF of Fractions for 3152/479, 3068/9024 is 4/4322496.