Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 922/126,919/579,145/436
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 922,919,145
Greatest Common Factor of Numerators i.e. GCF of 922,919,145 is 1 .
LCM of Denominators means LCM of 126,579,436 as per the given fractions.
LCM of 126,579,436 is 5301324 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 922,919,145
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Greatest Common Factor
We found the factors 922,919,145 . The biggest common factor number is the GCF number.
So the greatest common factor 922,919,145 is 1.
Lets's calculate LCM of 126,579,436
2 | 126, 579, 436 |
3 | 63, 579, 218 |
21, 193, 218 |
∴ So the LCM of the given numbers is 2 x 3 x 21 x 193 x 218 = 5301324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5301324
Therefore, the GCF of Fractions 922/126,919/579,145/436 is 1/5301324
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 126,579,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,579,436) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(126,579,436) x common factors =1 x 6 = 6
LCM(126,579,436) = ( 126 × 579 × 436 ) / 6
LCM(126,579,436) = 31807944 / 6
LCM(126,579,436) = 5301324
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 922/126, 919/579, 145/436?
Answer: GCF of Numerators as per given numbers 922/126, 919/579, 145/436 is
GCF of Numerators i.e. for 922,919,145 is 1
LCM of denominators i.e. for 126,579,436 is 5301324.
Thus, GCF of Fractions is 1/5301324.Finally, GCF of Fractions for 922/126, 919/579, 145/436 is 1/5301324.