Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/725,411/348,359/522
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 83,411,359
Greatest Common Factor of Numerators i.e. GCF of 83,411,359 is 1 .
LCM of Denominators means LCM of 725,348,522 as per the given fractions.
LCM of 725,348,522 is 26100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,411,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Greatest Common Factor
We found the factors 83,411,359 . The biggest common factor number is the GCF number.
So the greatest common factor 83,411,359 is 1.
Lets's calculate LCM of 725,348,522
2 | 725, 348, 522 |
3 | 725, 174, 261 |
29 | 725, 58, 87 |
25, 2, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 25 x 2 x 3 = 26100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26100
Therefore, the GCF of Fractions 83/725,411/348,359/522 is 1/26100
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 725,348,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,348,522) = 29
common factors(in case of two or more numbers have common factors) = 174
GCF(725,348,522) x common factors =29 x 174 = 5046
LCM(725,348,522) = ( 725 × 348 × 522 ) / 5046
LCM(725,348,522) = 131700600 / 5046
LCM(725,348,522) = 26100
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 83/725, 411/348, 359/522?
Answer: GCF of Numerators as per given numbers 83/725, 411/348, 359/522 is
GCF of Numerators i.e. for 83,411,359 is 1
LCM of denominators i.e. for 725,348,522 is 26100.
Thus, GCF of Fractions is 1/26100.Finally, GCF of Fractions for 83/725, 411/348, 359/522 is 1/26100.