Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 414/670,974/533,291/835
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 414,974,291
Greatest Common Factor of Numerators i.e. GCF of 414,974,291 is 1 .
LCM of Denominators means LCM of 670,533,835 as per the given fractions.
LCM of 670,533,835 is 59637370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 414,974,291
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Greatest Common Factor
We found the factors 414,974,291 . The biggest common factor number is the GCF number.
So the greatest common factor 414,974,291 is 1.
Lets's calculate LCM of 670,533,835
5 | 670, 533, 835 |
134, 533, 167 |
∴ So the LCM of the given numbers is 5 x 134 x 533 x 167 = 59637370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59637370
Therefore, the GCF of Fractions 414/670,974/533,291/835 is 1/59637370
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 670,533,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,533,835) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(670,533,835) x common factors =1 x 5 = 5
LCM(670,533,835) = ( 670 × 533 × 835 ) / 5
LCM(670,533,835) = 298186850 / 5
LCM(670,533,835) = 59637370
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 414/670, 974/533, 291/835?
Answer: GCF of Numerators as per given numbers 414/670, 974/533, 291/835 is
GCF of Numerators i.e. for 414,974,291 is 1
LCM of denominators i.e. for 670,533,835 is 59637370.
Thus, GCF of Fractions is 1/59637370.Finally, GCF of Fractions for 414/670, 974/533, 291/835 is 1/59637370.