Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/429,936/258,673/215
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 94,936,673
Greatest Common Factor of Numerators i.e. GCF of 94,936,673 is 1 .
LCM of Denominators means LCM of 429,258,215 as per the given fractions.
LCM of 429,258,215 is 184470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,936,673
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Greatest Common Factor
We found the factors 94,936,673 . The biggest common factor number is the GCF number.
So the greatest common factor 94,936,673 is 1.
Lets's calculate LCM of 429,258,215
3 | 429, 258, 215 |
43 | 143, 86, 215 |
143, 2, 5 |
∴ So the LCM of the given numbers is 3 x 43 x 143 x 2 x 5 = 184470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/184470
Therefore, the GCF of Fractions 94/429,936/258,673/215 is 1/184470
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 429,258,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,258,215) = 1
common factors(in case of two or more numbers have common factors) = 129
GCF(429,258,215) x common factors =1 x 129 = 129
LCM(429,258,215) = ( 429 × 258 × 215 ) / 129
LCM(429,258,215) = 23796630 / 129
LCM(429,258,215) = 184470
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 94/429, 936/258, 673/215?
Answer: GCF of Numerators as per given numbers 94/429, 936/258, 673/215 is
GCF of Numerators i.e. for 94,936,673 is 1
LCM of denominators i.e. for 429,258,215 is 184470.
Thus, GCF of Fractions is 1/184470.Finally, GCF of Fractions for 94/429, 936/258, 673/215 is 1/184470.