Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/42,398/32,350/758
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 23,398,350
Greatest Common Factor of Numerators i.e. GCF of 23,398,350 is 1 .
LCM of Denominators means LCM of 42,32,758 as per the given fractions.
LCM of 42,32,758 is 254688 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 23,398,350
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 23,398,350 . The biggest common factor number is the GCF number.
So the greatest common factor 23,398,350 is 1.
Lets's calculate LCM of 42,32,758
2 | 42, 32, 758 |
21, 16, 379 |
∴ So the LCM of the given numbers is 2 x 21 x 16 x 379 = 254688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254688
Therefore, the GCF of Fractions 23/42,398/32,350/758 is 1/254688
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 42,32,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,32,758) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(42,32,758) x common factors =2 x 2 = 4
LCM(42,32,758) = ( 42 × 32 × 758 ) / 4
LCM(42,32,758) = 1018752 / 4
LCM(42,32,758) = 254688
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 23/42, 398/32, 350/758?
Answer: GCF of Numerators as per given numbers 23/42, 398/32, 350/758 is
GCF of Numerators i.e. for 23,398,350 is 1
LCM of denominators i.e. for 42,32,758 is 254688.
Thus, GCF of Fractions is 1/254688.Finally, GCF of Fractions for 23/42, 398/32, 350/758 is 1/254688.