Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 953/475,109/236,521/322
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 953,109,521
Greatest Common Factor of Numerators i.e. GCF of 953,109,521 is 1 .
LCM of Denominators means LCM of 475,236,322 as per the given fractions.
LCM of 475,236,322 is 18048100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 953,109,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Greatest Common Factor
We found the factors 953,109,521 . The biggest common factor number is the GCF number.
So the greatest common factor 953,109,521 is 1.
Lets's calculate LCM of 475,236,322
2 | 475, 236, 322 |
475, 118, 161 |
∴ So the LCM of the given numbers is 2 x 475 x 118 x 161 = 18048100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18048100
Therefore, the GCF of Fractions 953/475,109/236,521/322 is 1/18048100
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 475,236,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,236,322) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(475,236,322) x common factors =1 x 2 = 2
LCM(475,236,322) = ( 475 × 236 × 322 ) / 2
LCM(475,236,322) = 36096200 / 2
LCM(475,236,322) = 18048100
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 953/475, 109/236, 521/322?
Answer: GCF of Numerators as per given numbers 953/475, 109/236, 521/322 is
GCF of Numerators i.e. for 953,109,521 is 1
LCM of denominators i.e. for 475,236,322 is 18048100.
Thus, GCF of Fractions is 1/18048100.Finally, GCF of Fractions for 953/475, 109/236, 521/322 is 1/18048100.