Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 316/10,843/94,525/464
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 316,843,525
Greatest Common Factor of Numerators i.e. GCF of 316,843,525 is 1 .
LCM of Denominators means LCM of 10,94,464 as per the given fractions.
LCM of 10,94,464 is 109040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 316,843,525
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
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
Greatest Common Factor
We found the factors 316,843,525 . The biggest common factor number is the GCF number.
So the greatest common factor 316,843,525 is 1.
Lets's calculate LCM of 10,94,464
2 | 10, 94, 464 |
5, 47, 232 |
∴ So the LCM of the given numbers is 2 x 5 x 47 x 232 = 109040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109040
Therefore, the GCF of Fractions 316/10,843/94,525/464 is 1/109040
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 10,94,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,94,464) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(10,94,464) x common factors =2 x 2 = 4
LCM(10,94,464) = ( 10 × 94 × 464 ) / 4
LCM(10,94,464) = 436160 / 4
LCM(10,94,464) = 109040
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 316/10, 843/94, 525/464?
Answer: GCF of Numerators as per given numbers 316/10, 843/94, 525/464 is
GCF of Numerators i.e. for 316,843,525 is 1
LCM of denominators i.e. for 10,94,464 is 109040.
Thus, GCF of Fractions is 1/109040.Finally, GCF of Fractions for 316/10, 843/94, 525/464 is 1/109040.