Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 35/31,468/40,242/310
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 35,468,242
Greatest Common Factor of Numerators i.e. GCF of 35,468,242 is 1 .
LCM of Denominators means LCM of 31,40,310 as per the given fractions.
LCM of 31,40,310 is 1240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 35,468,242
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Greatest Common Factor
We found the factors 35,468,242 . The biggest common factor number is the GCF number.
So the greatest common factor 35,468,242 is 1.
Lets's calculate LCM of 31,40,310
2 | 31, 40, 310 |
5 | 31, 20, 155 |
31 | 31, 4, 31 |
1, 4, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 31 x 1 x 4 x 1 = 1240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1240
Therefore, the GCF of Fractions 35/31,468/40,242/310 is 1/1240
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 31,40,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,40,310) = 1
common factors(in case of two or more numbers have common factors) = 310
GCF(31,40,310) x common factors =1 x 310 = 310
LCM(31,40,310) = ( 31 × 40 × 310 ) / 310
LCM(31,40,310) = 384400 / 310
LCM(31,40,310) = 1240
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 35/31, 468/40, 242/310?
Answer: GCF of Numerators as per given numbers 35/31, 468/40, 242/310 is
GCF of Numerators i.e. for 35,468,242 is 1
LCM of denominators i.e. for 31,40,310 is 1240.
Thus, GCF of Fractions is 1/1240.Finally, GCF of Fractions for 35/31, 468/40, 242/310 is 1/1240.