Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/46,51/36,63/60,93/130
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 90,51,63,93
Greatest Common Factor of Numerators i.e. GCF of 90,51,63,93 is 3 .
LCM of Denominators means LCM of 46,36,60,130 as per the given fractions.
LCM of 46,36,60,130 is 53820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 90,51,63,93
3 | 90, 51, 63, 93 |
30, 17, 21, 31 |
∴ So the GCF of the given numbers is 3 = 3
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 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Greatest Common Factor
We found the factors 90,51,63,93 . The biggest common factor number is the GCF number.
So the greatest common factor 90,51,63,93 is 3.
Lets's calculate LCM of 46,36,60,130
2 | 46, 36, 60, 130 |
2 | 23, 18, 30, 65 |
3 | 23, 9, 15, 65 |
5 | 23, 3, 5, 65 |
23, 3, 1, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 23 x 3 x 1 x 13 = 53820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/53820
Therefore, the GCF of Fractions 90/46,51/36,63/60,93/130 is 3/53820
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 46,36,60,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,36,60,130) = 2
common factors(in case of two or more numbers have common factors) = 120
GCF(46,36,60,130) x common factors =2 x 120 = 240
LCM(46,36,60,130) = ( 46 × 36 × 60 × 130 ) / 240
LCM(46,36,60,130) = 12916800 / 240
LCM(46,36,60,130) = 53820
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 90/46, 51/36, 63/60, 93/130?
Answer: GCF of Numerators as per given numbers 90/46, 51/36, 63/60, 93/130 is
GCF of Numerators i.e. for 90,51,63,93 is 3
LCM of denominators i.e. for 46,36,60,130 is 53820.
Thus, GCF of Fractions is 3/53820.Finally, GCF of Fractions for 90/46, 51/36, 63/60, 93/130 is 3/53820.