Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/133,45/532,619/210
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 35,45,619
Greatest Common Factor of Numerators i.e. GCF of 35,45,619 is 1 .
LCM of Denominators means LCM of 133,532,210 as per the given fractions.
LCM of 133,532,210 is 7980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 35,45,619
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Greatest Common Factor
We found the factors 35,45,619 . The biggest common factor number is the GCF number.
So the greatest common factor 35,45,619 is 1.
Lets's calculate LCM of 133,532,210
2 | 133, 532, 210 |
7 | 133, 266, 105 |
19 | 19, 38, 15 |
1, 2, 15 |
∴ So the LCM of the given numbers is 2 x 7 x 19 x 1 x 2 x 15 = 7980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7980
Therefore, the GCF of Fractions 35/133,45/532,619/210 is 1/7980
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 133,532,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,532,210) = 7
common factors(in case of two or more numbers have common factors) = 266
GCF(133,532,210) x common factors =7 x 266 = 1862
LCM(133,532,210) = ( 133 × 532 × 210 ) / 1862
LCM(133,532,210) = 14858760 / 1862
LCM(133,532,210) = 7980
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 35/133, 45/532, 619/210?
Answer: GCF of Numerators as per given numbers 35/133, 45/532, 619/210 is
GCF of Numerators i.e. for 35,45,619 is 1
LCM of denominators i.e. for 133,532,210 is 7980.
Thus, GCF of Fractions is 1/7980.Finally, GCF of Fractions for 35/133, 45/532, 619/210 is 1/7980.