Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 874/43,525/37,482/730
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 874,525,482
Greatest Common Factor of Numerators i.e. GCF of 874,525,482 is 1 .
LCM of Denominators means LCM of 43,37,730 as per the given fractions.
LCM of 43,37,730 is 1161430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 874,525,482
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 874,525,482 . The biggest common factor number is the GCF number.
So the greatest common factor 874,525,482 is 1.
Lets's calculate LCM of 43,37,730
Given numbers has no common factors except 1. So, there LCM is their product i.e 1161430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1161430
Therefore, the GCF of Fractions 874/43,525/37,482/730 is 1/1161430
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 43,37,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,37,730) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,37,730) x common factors =1 x 1 = 1
LCM(43,37,730) = ( 43 × 37 × 730 ) / 1
LCM(43,37,730) = 1161430 / 1
LCM(43,37,730) = 1161430
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 874/43, 525/37, 482/730?
Answer: GCF of Numerators as per given numbers 874/43, 525/37, 482/730 is
GCF of Numerators i.e. for 874,525,482 is 1
LCM of denominators i.e. for 43,37,730 is 1161430.
Thus, GCF of Fractions is 1/1161430.Finally, GCF of Fractions for 874/43, 525/37, 482/730 is 1/1161430.