Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 414/63,3013/947
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 414,3013
Greatest Common Factor of Numerators i.e. GCF of 414,3013 is 23 .
LCM of Denominators means LCM of 63,947 as per the given fractions.
LCM of 63,947 is 59661 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 414,3013
23 | 414, 3013 |
18, 131 |
∴ So the GCF of the given numbers is 23 = 23
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 3013
List of positive integer factors of 3013 that divides 3013 without a remainder.
1,23,131,3013
Greatest Common Factor
We found the factors 414,3013 . The biggest common factor number is the GCF number.
So the greatest common factor 414,3013 is 23.
Lets's calculate LCM of 63,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 59661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/59661
Therefore, the GCF of Fractions 414/63,3013/947 is 23/59661
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 63,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,947) x common factors =1 x 1 = 1
LCM(63,947) = ( 63 × 947 ) / 1
LCM(63,947) = 59661 / 1
LCM(63,947) = 59661
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 414/63, 3013/947?
Answer: GCF of Numerators as per given numbers 414/63, 3013/947 is
GCF of Numerators i.e. for 414,3013 is 23
LCM of denominators i.e. for 63,947 is 59661.
Thus, GCF of Fractions is 23/59661.Finally, GCF of Fractions for 414/63, 3013/947 is 23/59661.