Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 184/939,468/646,685/630
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 184,468,685
Greatest Common Factor of Numerators i.e. GCF of 184,468,685 is 1 .
LCM of Denominators means LCM of 939,646,630 as per the given fractions.
LCM of 939,646,630 is 63692370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 184,468,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Greatest Common Factor
We found the factors 184,468,685 . The biggest common factor number is the GCF number.
So the greatest common factor 184,468,685 is 1.
Lets's calculate LCM of 939,646,630
2 | 939, 646, 630 |
3 | 939, 323, 315 |
313, 323, 105 |
∴ So the LCM of the given numbers is 2 x 3 x 313 x 323 x 105 = 63692370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63692370
Therefore, the GCF of Fractions 184/939,468/646,685/630 is 1/63692370
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 939,646,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,646,630) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(939,646,630) x common factors =1 x 6 = 6
LCM(939,646,630) = ( 939 × 646 × 630 ) / 6
LCM(939,646,630) = 382154220 / 6
LCM(939,646,630) = 63692370
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 184/939, 468/646, 685/630?
Answer: GCF of Numerators as per given numbers 184/939, 468/646, 685/630 is
GCF of Numerators i.e. for 184,468,685 is 1
LCM of denominators i.e. for 939,646,630 is 63692370.
Thus, GCF of Fractions is 1/63692370.Finally, GCF of Fractions for 184/939, 468/646, 685/630 is 1/63692370.