Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 37/268,90/434,278/662
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 37,90,278
Greatest Common Factor of Numerators i.e. GCF of 37,90,278 is 1 .
LCM of Denominators means LCM of 268,434,662 as per the given fractions.
LCM of 268,434,662 is 19249636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 37,90,278
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
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 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Greatest Common Factor
We found the factors 37,90,278 . The biggest common factor number is the GCF number.
So the greatest common factor 37,90,278 is 1.
Lets's calculate LCM of 268,434,662
2 | 268, 434, 662 |
134, 217, 331 |
∴ So the LCM of the given numbers is 2 x 134 x 217 x 331 = 19249636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19249636
Therefore, the GCF of Fractions 37/268,90/434,278/662 is 1/19249636
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 268,434,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,434,662) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(268,434,662) x common factors =2 x 2 = 4
LCM(268,434,662) = ( 268 × 434 × 662 ) / 4
LCM(268,434,662) = 76998544 / 4
LCM(268,434,662) = 19249636
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 37/268, 90/434, 278/662?
Answer: GCF of Numerators as per given numbers 37/268, 90/434, 278/662 is
GCF of Numerators i.e. for 37,90,278 is 1
LCM of denominators i.e. for 268,434,662 is 19249636.
Thus, GCF of Fractions is 1/19249636.Finally, GCF of Fractions for 37/268, 90/434, 278/662 is 1/19249636.