Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 135/532,464/696,671/200
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 135,464,671
Greatest Common Factor of Numerators i.e. GCF of 135,464,671 is 1 .
LCM of Denominators means LCM of 532,696,200 as per the given fractions.
LCM of 532,696,200 is 2314200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 135,464,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Greatest Common Factor
We found the factors 135,464,671 . The biggest common factor number is the GCF number.
So the greatest common factor 135,464,671 is 1.
Lets's calculate LCM of 532,696,200
2 | 532, 696, 200 |
2 | 266, 348, 100 |
2 | 133, 174, 50 |
133, 87, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 133 x 87 x 25 = 2314200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2314200
Therefore, the GCF of Fractions 135/532,464/696,671/200 is 1/2314200
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 532,696,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,696,200) = 4
common factors(in case of two or more numbers have common factors) = 8
GCF(532,696,200) x common factors =4 x 8 = 32
LCM(532,696,200) = ( 532 × 696 × 200 ) / 32
LCM(532,696,200) = 74054400 / 32
LCM(532,696,200) = 2314200
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 135/532, 464/696, 671/200?
Answer: GCF of Numerators as per given numbers 135/532, 464/696, 671/200 is
GCF of Numerators i.e. for 135,464,671 is 1
LCM of denominators i.e. for 532,696,200 is 2314200.
Thus, GCF of Fractions is 1/2314200.Finally, GCF of Fractions for 135/532, 464/696, 671/200 is 1/2314200.