Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/15,98/45,62/263,301/412
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 2,98,62,301
Greatest Common Factor of Numerators i.e. GCF of 2,98,62,301 is 1 .
LCM of Denominators means LCM of 15,45,263,412 as per the given fractions.
LCM of 15,45,263,412 is 4876020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,98,62,301
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Greatest Common Factor
We found the factors 2,98,62,301 . The biggest common factor number is the GCF number.
So the greatest common factor 2,98,62,301 is 1.
Lets's calculate LCM of 15,45,263,412
3 | 15, 45, 263, 412 |
5 | 5, 15, 263, 412 |
1, 3, 263, 412 |
∴ So the LCM of the given numbers is 3 x 5 x 1 x 3 x 263 x 412 = 4876020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4876020
Therefore, the GCF of Fractions 2/15,98/45,62/263,301/412 is 1/4876020
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 15,45,263,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,45,263,412) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(15,45,263,412) x common factors =1 x 15 = 15
LCM(15,45,263,412) = ( 15 × 45 × 263 × 412 ) / 15
LCM(15,45,263,412) = 73140300 / 15
LCM(15,45,263,412) = 4876020
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 2/15, 98/45, 62/263, 301/412?
Answer: GCF of Numerators as per given numbers 2/15, 98/45, 62/263, 301/412 is
GCF of Numerators i.e. for 2,98,62,301 is 1
LCM of denominators i.e. for 15,45,263,412 is 4876020.
Thus, GCF of Fractions is 1/4876020.Finally, GCF of Fractions for 2/15, 98/45, 62/263, 301/412 is 1/4876020.