Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7918/47,7066/715
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 7918,7066
Greatest Common Factor of Numerators i.e. GCF of 7918,7066 is 2 .
LCM of Denominators means LCM of 47,715 as per the given fractions.
LCM of 47,715 is 33605 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7918,7066
2 | 7918, 7066 |
3959, 3533 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7918
List of positive integer factors of 7918 that divides 7918 without a remainder.
1,2,37,74,107,214,3959,7918
Factors of 7066
List of positive integer factors of 7066 that divides 7066 without a remainder.
1,2,3533,7066
Greatest Common Factor
We found the factors 7918,7066 . The biggest common factor number is the GCF number.
So the greatest common factor 7918,7066 is 2.
Lets's calculate LCM of 47,715
Given numbers has no common factors except 1. So, there LCM is their product i.e 33605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33605
Therefore, the GCF of Fractions 7918/47,7066/715 is 2/33605
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 47,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,715) x common factors =1 x 1 = 1
LCM(47,715) = ( 47 × 715 ) / 1
LCM(47,715) = 33605 / 1
LCM(47,715) = 33605
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 7918/47, 7066/715?
Answer: GCF of Numerators as per given numbers 7918/47, 7066/715 is
GCF of Numerators i.e. for 7918,7066 is 2
LCM of denominators i.e. for 47,715 is 33605.
Thus, GCF of Fractions is 2/33605.Finally, GCF of Fractions for 7918/47, 7066/715 is 2/33605.