Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/90,17/38,69/765,198/310
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 4,17,69,198
Greatest Common Factor of Numerators i.e. GCF of 4,17,69,198 is 1 .
LCM of Denominators means LCM of 90,38,765,310 as per the given fractions.
LCM of 90,38,765,310 is 901170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,17,69,198
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 4,17,69,198 . The biggest common factor number is the GCF number.
So the greatest common factor 4,17,69,198 is 1.
Lets's calculate LCM of 90,38,765,310
2 | 90, 38, 765, 310 |
3 | 45, 19, 765, 155 |
3 | 15, 19, 255, 155 |
5 | 5, 19, 85, 155 |
1, 19, 17, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 19 x 17 x 31 = 901170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/901170
Therefore, the GCF of Fractions 4/90,17/38,69/765,198/310 is 1/901170
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 90,38,765,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,38,765,310) = 1
common factors(in case of two or more numbers have common factors) = 900
GCF(90,38,765,310) x common factors =1 x 900 = 900
LCM(90,38,765,310) = ( 90 × 38 × 765 × 310 ) / 900
LCM(90,38,765,310) = 811053000 / 900
LCM(90,38,765,310) = 901170
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 4/90, 17/38, 69/765, 198/310?
Answer: GCF of Numerators as per given numbers 4/90, 17/38, 69/765, 198/310 is
GCF of Numerators i.e. for 4,17,69,198 is 1
LCM of denominators i.e. for 90,38,765,310 is 901170.
Thus, GCF of Fractions is 1/901170.Finally, GCF of Fractions for 4/90, 17/38, 69/765, 198/310 is 1/901170.