Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 884/847,195/473,155/383
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 884,195,155
Greatest Common Factor of Numerators i.e. GCF of 884,195,155 is 1 .
LCM of Denominators means LCM of 847,473,383 as per the given fractions.
LCM of 847,473,383 is 13949243 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 884,195,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Greatest Common Factor
We found the factors 884,195,155 . The biggest common factor number is the GCF number.
So the greatest common factor 884,195,155 is 1.
Lets's calculate LCM of 847,473,383
11 | 847, 473, 383 |
77, 43, 383 |
∴ So the LCM of the given numbers is 11 x 77 x 43 x 383 = 13949243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13949243
Therefore, the GCF of Fractions 884/847,195/473,155/383 is 1/13949243
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 847,473,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,473,383) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(847,473,383) x common factors =1 x 11 = 11
LCM(847,473,383) = ( 847 × 473 × 383 ) / 11
LCM(847,473,383) = 153441673 / 11
LCM(847,473,383) = 13949243
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 884/847, 195/473, 155/383?
Answer: GCF of Numerators as per given numbers 884/847, 195/473, 155/383 is
GCF of Numerators i.e. for 884,195,155 is 1
LCM of denominators i.e. for 847,473,383 is 13949243.
Thus, GCF of Fractions is 1/13949243.Finally, GCF of Fractions for 884/847, 195/473, 155/383 is 1/13949243.