Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 190/61,686/49,315/464
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 190,686,315
Greatest Common Factor of Numerators i.e. GCF of 190,686,315 is 1 .
LCM of Denominators means LCM of 61,49,464 as per the given fractions.
LCM of 61,49,464 is 1386896 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 190,686,315
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 190,686,315 . The biggest common factor number is the GCF number.
So the greatest common factor 190,686,315 is 1.
Lets's calculate LCM of 61,49,464
Given numbers has no common factors except 1. So, there LCM is their product i.e 1386896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1386896
Therefore, the GCF of Fractions 190/61,686/49,315/464 is 1/1386896
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 61,49,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,49,464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,49,464) x common factors =1 x 1 = 1
LCM(61,49,464) = ( 61 × 49 × 464 ) / 1
LCM(61,49,464) = 1386896 / 1
LCM(61,49,464) = 1386896
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 190/61, 686/49, 315/464?
Answer: GCF of Numerators as per given numbers 190/61, 686/49, 315/464 is
GCF of Numerators i.e. for 190,686,315 is 1
LCM of denominators i.e. for 61,49,464 is 1386896.
Thus, GCF of Fractions is 1/1386896.Finally, GCF of Fractions for 190/61, 686/49, 315/464 is 1/1386896.