Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 267/95,636/6046
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 267,636
Greatest Common Factor of Numerators i.e. GCF of 267,636 is 3 .
LCM of Denominators means LCM of 95,6046 as per the given fractions.
LCM of 95,6046 is 574370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 267,636
3 | 267, 636 |
89, 212 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 267,636 . The biggest common factor number is the GCF number.
So the greatest common factor 267,636 is 3.
Lets's calculate LCM of 95,6046
Given numbers has no common factors except 1. So, there LCM is their product i.e 574370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/574370
Therefore, the GCF of Fractions 267/95,636/6046 is 3/574370
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 95,6046 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,6046) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,6046) x common factors =1 x 1 = 1
LCM(95,6046) = ( 95 × 6046 ) / 1
LCM(95,6046) = 574370 / 1
LCM(95,6046) = 574370
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 267/95, 636/6046?
Answer: GCF of Numerators as per given numbers 267/95, 636/6046 is
GCF of Numerators i.e. for 267,636 is 3
LCM of denominators i.e. for 95,6046 is 574370.
Thus, GCF of Fractions is 3/574370.Finally, GCF of Fractions for 267/95, 636/6046 is 3/574370.