Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/447,633/921,705/447
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 88,633,705
Greatest Common Factor of Numerators i.e. GCF of 88,633,705 is 1 .
LCM of Denominators means LCM of 447,921,447 as per the given fractions.
LCM of 447,921,447 is 137229 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 88,633,705
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 88,633,705 . The biggest common factor number is the GCF number.
So the greatest common factor 88,633,705 is 1.
Lets's calculate LCM of 447,921,447
3 | 447, 921, 447 |
149 | 149, 307, 149 |
1, 307, 1 |
∴ So the LCM of the given numbers is 3 x 149 x 1 x 307 x 1 = 137229
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137229
Therefore, the GCF of Fractions 88/447,633/921,705/447 is 1/137229
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 447,921,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,921,447) = 3
common factors(in case of two or more numbers have common factors) = 447
GCF(447,921,447) x common factors =3 x 447 = 1341
LCM(447,921,447) = ( 447 × 921 × 447 ) / 1341
LCM(447,921,447) = 184024089 / 1341
LCM(447,921,447) = 137229
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 88/447, 633/921, 705/447?
Answer: GCF of Numerators as per given numbers 88/447, 633/921, 705/447 is
GCF of Numerators i.e. for 88,633,705 is 1
LCM of denominators i.e. for 447,921,447 is 137229.
Thus, GCF of Fractions is 1/137229.Finally, GCF of Fractions for 88/447, 633/921, 705/447 is 1/137229.