Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 976/51,580/366
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 976,580
Greatest Common Factor of Numerators i.e. GCF of 976,580 is 4 .
LCM of Denominators means LCM of 51,366 as per the given fractions.
LCM of 51,366 is 6222 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 976,580
2 | 976, 580 |
2 | 488, 290 |
244, 145 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 976,580 . The biggest common factor number is the GCF number.
So the greatest common factor 976,580 is 4.
Lets's calculate LCM of 51,366
3 | 51, 366 |
17, 122 |
∴ So the LCM of the given numbers is 3 x 17 x 122 = 6222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6222
Therefore, the GCF of Fractions 976/51,580/366 is 4/6222
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 51,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,366) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(51,366) x common factors =3 x 1 = 3
LCM(51,366) = ( 51 × 366 ) / 3
LCM(51,366) = 18666 / 3
LCM(51,366) = 6222
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 976/51, 580/366?
Answer: GCF of Numerators as per given numbers 976/51, 580/366 is
GCF of Numerators i.e. for 976,580 is 4
LCM of denominators i.e. for 51,366 is 6222.
Thus, GCF of Fractions is 4/6222.Finally, GCF of Fractions for 976/51, 580/366 is 4/6222.