Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/90,262/83,954/320
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 40,262,954
Greatest Common Factor of Numerators i.e. GCF of 40,262,954 is 2 .
LCM of Denominators means LCM of 90,83,320 as per the given fractions.
LCM of 90,83,320 is 239040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,262,954
2 | 40, 262, 954 |
20, 131, 477 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Greatest Common Factor
We found the factors 40,262,954 . The biggest common factor number is the GCF number.
So the greatest common factor 40,262,954 is 2.
Lets's calculate LCM of 90,83,320
2 | 90, 83, 320 |
5 | 45, 83, 160 |
9, 83, 32 |
∴ So the LCM of the given numbers is 2 x 5 x 9 x 83 x 32 = 239040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/239040
Therefore, the GCF of Fractions 40/90,262/83,954/320 is 2/239040
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 90,83,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,83,320) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(90,83,320) x common factors =1 x 10 = 10
LCM(90,83,320) = ( 90 × 83 × 320 ) / 10
LCM(90,83,320) = 2390400 / 10
LCM(90,83,320) = 239040
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 40/90, 262/83, 954/320?
Answer: GCF of Numerators as per given numbers 40/90, 262/83, 954/320 is
GCF of Numerators i.e. for 40,262,954 is 2
LCM of denominators i.e. for 90,83,320 is 239040.
Thus, GCF of Fractions is 2/239040.Finally, GCF of Fractions for 40/90, 262/83, 954/320 is 2/239040.