Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/118,260/972,454/376
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 90,260,454
Greatest Common Factor of Numerators i.e. GCF of 90,260,454 is 2 .
LCM of Denominators means LCM of 118,972,376 as per the given fractions.
LCM of 118,972,376 is 5390712 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 90,260,454
2 | 90, 260, 454 |
45, 130, 227 |
∴ So the GCF of the given numbers is 2 = 2
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 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Greatest Common Factor
We found the factors 90,260,454 . The biggest common factor number is the GCF number.
So the greatest common factor 90,260,454 is 2.
Lets's calculate LCM of 118,972,376
2 | 118, 972, 376 |
2 | 59, 486, 188 |
59, 243, 94 |
∴ So the LCM of the given numbers is 2 x 2 x 59 x 243 x 94 = 5390712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5390712
Therefore, the GCF of Fractions 90/118,260/972,454/376 is 2/5390712
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 118,972,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,972,376) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(118,972,376) x common factors =2 x 4 = 8
LCM(118,972,376) = ( 118 × 972 × 376 ) / 8
LCM(118,972,376) = 43125696 / 8
LCM(118,972,376) = 5390712
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 90/118, 260/972, 454/376?
Answer: GCF of Numerators as per given numbers 90/118, 260/972, 454/376 is
GCF of Numerators i.e. for 90,260,454 is 2
LCM of denominators i.e. for 118,972,376 is 5390712.
Thus, GCF of Fractions is 2/5390712.Finally, GCF of Fractions for 90/118, 260/972, 454/376 is 2/5390712.