Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 145/35,650/3194
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 145,650
Greatest Common Factor of Numerators i.e. GCF of 145,650 is 5 .
LCM of Denominators means LCM of 35,3194 as per the given fractions.
LCM of 35,3194 is 111790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 145,650
5 | 145, 650 |
29, 130 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 145,650 . The biggest common factor number is the GCF number.
So the greatest common factor 145,650 is 5.
Lets's calculate LCM of 35,3194
Given numbers has no common factors except 1. So, there LCM is their product i.e 111790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/111790
Therefore, the GCF of Fractions 145/35,650/3194 is 5/111790
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 35,3194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,3194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,3194) x common factors =1 x 1 = 1
LCM(35,3194) = ( 35 × 3194 ) / 1
LCM(35,3194) = 111790 / 1
LCM(35,3194) = 111790
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 145/35, 650/3194?
Answer: GCF of Numerators as per given numbers 145/35, 650/3194 is
GCF of Numerators i.e. for 145,650 is 5
LCM of denominators i.e. for 35,3194 is 111790.
Thus, GCF of Fractions is 5/111790.Finally, GCF of Fractions for 145/35, 650/3194 is 5/111790.