Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8622/659,4011/532
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 8622,4011
Greatest Common Factor of Numerators i.e. GCF of 8622,4011 is 3 .
LCM of Denominators means LCM of 659,532 as per the given fractions.
LCM of 659,532 is 350588 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8622,4011
3 | 8622, 4011 |
2874, 1337 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8622
List of positive integer factors of 8622 that divides 8622 without a remainder.
1,2,3,6,9,18,479,958,1437,2874,4311,8622
Factors of 4011
List of positive integer factors of 4011 that divides 4011 without a remainder.
1,3,7,21,191,573,1337,4011
Greatest Common Factor
We found the factors 8622,4011 . The biggest common factor number is the GCF number.
So the greatest common factor 8622,4011 is 3.
Lets's calculate LCM of 659,532
Given numbers has no common factors except 1. So, there LCM is their product i.e 350588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/350588
Therefore, the GCF of Fractions 8622/659,4011/532 is 3/350588
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 659,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,532) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,532) x common factors =1 x 1 = 1
LCM(659,532) = ( 659 × 532 ) / 1
LCM(659,532) = 350588 / 1
LCM(659,532) = 350588
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 8622/659, 4011/532?
Answer: GCF of Numerators as per given numbers 8622/659, 4011/532 is
GCF of Numerators i.e. for 8622,4011 is 3
LCM of denominators i.e. for 659,532 is 350588.
Thus, GCF of Fractions is 3/350588.Finally, GCF of Fractions for 8622/659, 4011/532 is 3/350588.