Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/950,90/760,642/752
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 66,90,642
Greatest Common Factor of Numerators i.e. GCF of 66,90,642 is 6 .
LCM of Denominators means LCM of 950,760,752 as per the given fractions.
LCM of 950,760,752 is 357200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 66,90,642
2 | 66, 90, 642 |
3 | 33, 45, 321 |
11, 15, 107 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 66,90,642 . The biggest common factor number is the GCF number.
So the greatest common factor 66,90,642 is 6.
Lets's calculate LCM of 950,760,752
2 | 950, 760, 752 |
2 | 475, 380, 376 |
2 | 475, 190, 188 |
5 | 475, 95, 94 |
19 | 19, 95, 94 |
1, 5, 94 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 19 x 1 x 5 x 94 = 357200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/357200
Therefore, the GCF of Fractions 66/950,90/760,642/752 is 6/357200
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 950,760,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,760,752) = 2
common factors(in case of two or more numbers have common factors) = 760
GCF(950,760,752) x common factors =2 x 760 = 1520
LCM(950,760,752) = ( 950 × 760 × 752 ) / 1520
LCM(950,760,752) = 542944000 / 1520
LCM(950,760,752) = 357200
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 66/950, 90/760, 642/752?
Answer: GCF of Numerators as per given numbers 66/950, 90/760, 642/752 is
GCF of Numerators i.e. for 66,90,642 is 6
LCM of denominators i.e. for 950,760,752 is 357200.
Thus, GCF of Fractions is 6/357200.Finally, GCF of Fractions for 66/950, 90/760, 642/752 is 6/357200.