Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6264/479,3584/7381
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 6264,3584
Greatest Common Factor of Numerators i.e. GCF of 6264,3584 is 8 .
LCM of Denominators means LCM of 479,7381 as per the given fractions.
LCM of 479,7381 is 3535499 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6264,3584
2 | 6264, 3584 |
2 | 3132, 1792 |
2 | 1566, 896 |
783, 448 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 6264
List of positive integer factors of 6264 that divides 6264 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264
Factors of 3584
List of positive integer factors of 3584 that divides 3584 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1792,3584
Greatest Common Factor
We found the factors 6264,3584 . The biggest common factor number is the GCF number.
So the greatest common factor 6264,3584 is 8.
Lets's calculate LCM of 479,7381
Given numbers has no common factors except 1. So, there LCM is their product i.e 3535499
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3535499
Therefore, the GCF of Fractions 6264/479,3584/7381 is 8/3535499
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 479,7381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,7381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,7381) x common factors =1 x 1 = 1
LCM(479,7381) = ( 479 × 7381 ) / 1
LCM(479,7381) = 3535499 / 1
LCM(479,7381) = 3535499
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 6264/479, 3584/7381?
Answer: GCF of Numerators as per given numbers 6264/479, 3584/7381 is
GCF of Numerators i.e. for 6264,3584 is 8
LCM of denominators i.e. for 479,7381 is 3535499.
Thus, GCF of Fractions is 8/3535499.Finally, GCF of Fractions for 6264/479, 3584/7381 is 8/3535499.