Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6451/163,3150/108
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 6451,3150
Greatest Common Factor of Numerators i.e. GCF of 6451,3150 is 1 .
LCM of Denominators means LCM of 163,108 as per the given fractions.
LCM of 163,108 is 17604 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6451,3150
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6451
List of positive integer factors of 6451 that divides 6451 without a remainder.
1,6451
Factors of 3150
List of positive integer factors of 3150 that divides 3150 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150
Greatest Common Factor
We found the factors 6451,3150 . The biggest common factor number is the GCF number.
So the greatest common factor 6451,3150 is 1.
Lets's calculate LCM of 163,108
Given numbers has no common factors except 1. So, there LCM is their product i.e 17604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17604
Therefore, the GCF of Fractions 6451/163,3150/108 is 1/17604
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 163,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,108) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,108) x common factors =1 x 1 = 1
LCM(163,108) = ( 163 × 108 ) / 1
LCM(163,108) = 17604 / 1
LCM(163,108) = 17604
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 6451/163, 3150/108?
Answer: GCF of Numerators as per given numbers 6451/163, 3150/108 is
GCF of Numerators i.e. for 6451,3150 is 1
LCM of denominators i.e. for 163,108 is 17604.
Thus, GCF of Fractions is 1/17604.Finally, GCF of Fractions for 6451/163, 3150/108 is 1/17604.