Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2360/42,3169/665
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 2360,3169
Greatest Common Factor of Numerators i.e. GCF of 2360,3169 is 1 .
LCM of Denominators means LCM of 42,665 as per the given fractions.
LCM of 42,665 is 3990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2360,3169
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2360
List of positive integer factors of 2360 that divides 2360 without a remainder.
1,2,4,5,8,10,20,40,59,118,236,295,472,590,1180,2360
Factors of 3169
List of positive integer factors of 3169 that divides 3169 without a remainder.
1,3169
Greatest Common Factor
We found the factors 2360,3169 . The biggest common factor number is the GCF number.
So the greatest common factor 2360,3169 is 1.
Lets's calculate LCM of 42,665
7 | 42, 665 |
6, 95 |
∴ So the LCM of the given numbers is 7 x 6 x 95 = 3990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3990
Therefore, the GCF of Fractions 2360/42,3169/665 is 1/3990
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 42,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,665) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(42,665) x common factors =7 x 1 = 7
LCM(42,665) = ( 42 × 665 ) / 7
LCM(42,665) = 27930 / 7
LCM(42,665) = 3990
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 2360/42, 3169/665?
Answer: GCF of Numerators as per given numbers 2360/42, 3169/665 is
GCF of Numerators i.e. for 2360,3169 is 1
LCM of denominators i.e. for 42,665 is 3990.
Thus, GCF of Fractions is 1/3990.Finally, GCF of Fractions for 2360/42, 3169/665 is 1/3990.