Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 117/42,633/467
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 117,633
Greatest Common Factor of Numerators i.e. GCF of 117,633 is 3 .
LCM of Denominators means LCM of 42,467 as per the given fractions.
LCM of 42,467 is 19614 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 117,633
3 | 117, 633 |
39, 211 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Greatest Common Factor
We found the factors 117,633 . The biggest common factor number is the GCF number.
So the greatest common factor 117,633 is 3.
Lets's calculate LCM of 42,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 19614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19614
Therefore, the GCF of Fractions 117/42,633/467 is 3/19614
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 42,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,467) x common factors =1 x 1 = 1
LCM(42,467) = ( 42 × 467 ) / 1
LCM(42,467) = 19614 / 1
LCM(42,467) = 19614
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 117/42, 633/467?
Answer: GCF of Numerators as per given numbers 117/42, 633/467 is
GCF of Numerators i.e. for 117,633 is 3
LCM of denominators i.e. for 42,467 is 19614.
Thus, GCF of Fractions is 3/19614.Finally, GCF of Fractions for 117/42, 633/467 is 3/19614.