Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/143,1170/3953
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 50,1170
Greatest Common Factor of Numerators i.e. GCF of 50,1170 is 10 .
LCM of Denominators means LCM of 143,3953 as per the given fractions.
LCM of 143,3953 is 565279 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,1170
2 | 50, 1170 |
5 | 25, 585 |
5, 117 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 1170
List of positive integer factors of 1170 that divides 1170 without a remainder.
1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170
Greatest Common Factor
We found the factors 50,1170 . The biggest common factor number is the GCF number.
So the greatest common factor 50,1170 is 10.
Lets's calculate LCM of 143,3953
Given numbers has no common factors except 1. So, there LCM is their product i.e 565279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/565279
Therefore, the GCF of Fractions 50/143,1170/3953 is 10/565279
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 143,3953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,3953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,3953) x common factors =1 x 1 = 1
LCM(143,3953) = ( 143 × 3953 ) / 1
LCM(143,3953) = 565279 / 1
LCM(143,3953) = 565279
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 50/143, 1170/3953?
Answer: GCF of Numerators as per given numbers 50/143, 1170/3953 is
GCF of Numerators i.e. for 50,1170 is 10
LCM of denominators i.e. for 143,3953 is 565279.
Thus, GCF of Fractions is 10/565279.Finally, GCF of Fractions for 50/143, 1170/3953 is 10/565279.