Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9374/488,3862/8417
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 9374,3862
Greatest Common Factor of Numerators i.e. GCF of 9374,3862 is 2 .
LCM of Denominators means LCM of 488,8417 as per the given fractions.
LCM of 488,8417 is 4107496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9374,3862
2 | 9374, 3862 |
4687, 1931 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9374
List of positive integer factors of 9374 that divides 9374 without a remainder.
1,2,43,86,109,218,4687,9374
Factors of 3862
List of positive integer factors of 3862 that divides 3862 without a remainder.
1,2,1931,3862
Greatest Common Factor
We found the factors 9374,3862 . The biggest common factor number is the GCF number.
So the greatest common factor 9374,3862 is 2.
Lets's calculate LCM of 488,8417
Given numbers has no common factors except 1. So, there LCM is their product i.e 4107496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4107496
Therefore, the GCF of Fractions 9374/488,3862/8417 is 2/4107496
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 488,8417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,8417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(488,8417) x common factors =1 x 1 = 1
LCM(488,8417) = ( 488 × 8417 ) / 1
LCM(488,8417) = 4107496 / 1
LCM(488,8417) = 4107496
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 9374/488, 3862/8417?
Answer: GCF of Numerators as per given numbers 9374/488, 3862/8417 is
GCF of Numerators i.e. for 9374,3862 is 2
LCM of denominators i.e. for 488,8417 is 4107496.
Thus, GCF of Fractions is 2/4107496.Finally, GCF of Fractions for 9374/488, 3862/8417 is 2/4107496.