Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7568/187,4672/406
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 7568,4672
Greatest Common Factor of Numerators i.e. GCF of 7568,4672 is 16 .
LCM of Denominators means LCM of 187,406 as per the given fractions.
LCM of 187,406 is 75922 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7568,4672
2 | 7568, 4672 |
2 | 3784, 2336 |
2 | 1892, 1168 |
2 | 946, 584 |
473, 292 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 7568
List of positive integer factors of 7568 that divides 7568 without a remainder.
1,2,4,8,11,16,22,43,44,86,88,172,176,344,473,688,946,1892,3784,7568
Factors of 4672
List of positive integer factors of 4672 that divides 4672 without a remainder.
1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672
Greatest Common Factor
We found the factors 7568,4672 . The biggest common factor number is the GCF number.
So the greatest common factor 7568,4672 is 16.
Lets's calculate LCM of 187,406
Given numbers has no common factors except 1. So, there LCM is their product i.e 75922
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/75922
Therefore, the GCF of Fractions 7568/187,4672/406 is 16/75922
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 187,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,406) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,406) x common factors =1 x 1 = 1
LCM(187,406) = ( 187 × 406 ) / 1
LCM(187,406) = 75922 / 1
LCM(187,406) = 75922
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 7568/187, 4672/406?
Answer: GCF of Numerators as per given numbers 7568/187, 4672/406 is
GCF of Numerators i.e. for 7568,4672 is 16
LCM of denominators i.e. for 187,406 is 75922.
Thus, GCF of Fractions is 16/75922.Finally, GCF of Fractions for 7568/187, 4672/406 is 16/75922.