Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 134/532,1487/6496
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 134,1487
Greatest Common Factor of Numerators i.e. GCF of 134,1487 is 1 .
LCM of Denominators means LCM of 532,6496 as per the given fractions.
LCM of 532,6496 is 123424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 134,1487
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 1487
List of positive integer factors of 1487 that divides 1487 without a remainder.
1,1487
Greatest Common Factor
We found the factors 134,1487 . The biggest common factor number is the GCF number.
So the greatest common factor 134,1487 is 1.
Lets's calculate LCM of 532,6496
2 | 532, 6496 |
2 | 266, 3248 |
7 | 133, 1624 |
19, 232 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 232 = 123424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123424
Therefore, the GCF of Fractions 134/532,1487/6496 is 1/123424
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 532,6496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,6496) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(532,6496) x common factors =28 x 1 = 28
LCM(532,6496) = ( 532 × 6496 ) / 28
LCM(532,6496) = 3455872 / 28
LCM(532,6496) = 123424
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 134/532, 1487/6496?
Answer: GCF of Numerators as per given numbers 134/532, 1487/6496 is
GCF of Numerators i.e. for 134,1487 is 1
LCM of denominators i.e. for 532,6496 is 123424.
Thus, GCF of Fractions is 1/123424.Finally, GCF of Fractions for 134/532, 1487/6496 is 1/123424.