Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 984/592,909/748,699/122
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 984,909,699
Greatest Common Factor of Numerators i.e. GCF of 984,909,699 is 3 .
LCM of Denominators means LCM of 592,748,122 as per the given fractions.
LCM of 592,748,122 is 6752944 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 984,909,699
3 | 984, 909, 699 |
328, 303, 233 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Greatest Common Factor
We found the factors 984,909,699 . The biggest common factor number is the GCF number.
So the greatest common factor 984,909,699 is 3.
Lets's calculate LCM of 592,748,122
2 | 592, 748, 122 |
2 | 296, 374, 61 |
148, 187, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 148 x 187 x 61 = 6752944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6752944
Therefore, the GCF of Fractions 984/592,909/748,699/122 is 3/6752944
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 592,748,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,748,122) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(592,748,122) x common factors =2 x 4 = 8
LCM(592,748,122) = ( 592 × 748 × 122 ) / 8
LCM(592,748,122) = 54023552 / 8
LCM(592,748,122) = 6752944
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 984/592, 909/748, 699/122?
Answer: GCF of Numerators as per given numbers 984/592, 909/748, 699/122 is
GCF of Numerators i.e. for 984,909,699 is 3
LCM of denominators i.e. for 592,748,122 is 6752944.
Thus, GCF of Fractions is 3/6752944.Finally, GCF of Fractions for 984/592, 909/748, 699/122 is 3/6752944.