Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 608/130,413/756
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 608,413
Greatest Common Factor of Numerators i.e. GCF of 608,413 is 1 .
LCM of Denominators means LCM of 130,756 as per the given fractions.
LCM of 130,756 is 49140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 608,413
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Greatest Common Factor
We found the factors 608,413 . The biggest common factor number is the GCF number.
So the greatest common factor 608,413 is 1.
Lets's calculate LCM of 130,756
2 | 130, 756 |
65, 378 |
∴ So the LCM of the given numbers is 2 x 65 x 378 = 49140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49140
Therefore, the GCF of Fractions 608/130,413/756 is 1/49140
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 130,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,756) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,756) x common factors =2 x 1 = 2
LCM(130,756) = ( 130 × 756 ) / 2
LCM(130,756) = 98280 / 2
LCM(130,756) = 49140
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 608/130, 413/756?
Answer: GCF of Numerators as per given numbers 608/130, 413/756 is
GCF of Numerators i.e. for 608,413 is 1
LCM of denominators i.e. for 130,756 is 49140.
Thus, GCF of Fractions is 1/49140.Finally, GCF of Fractions for 608/130, 413/756 is 1/49140.