Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 141/168,875/464
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 141,875
Greatest Common Factor of Numerators i.e. GCF of 141,875 is 1 .
LCM of Denominators means LCM of 168,464 as per the given fractions.
LCM of 168,464 is 9744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 141,875
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 141,875 . The biggest common factor number is the GCF number.
So the greatest common factor 141,875 is 1.
Lets's calculate LCM of 168,464
2 | 168, 464 |
2 | 84, 232 |
2 | 42, 116 |
21, 58 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 21 x 58 = 9744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9744
Therefore, the GCF of Fractions 141/168,875/464 is 1/9744
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 168,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,464) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(168,464) x common factors =8 x 1 = 8
LCM(168,464) = ( 168 × 464 ) / 8
LCM(168,464) = 77952 / 8
LCM(168,464) = 9744
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 141/168, 875/464?
Answer: GCF of Numerators as per given numbers 141/168, 875/464 is
GCF of Numerators i.e. for 141,875 is 1
LCM of denominators i.e. for 168,464 is 9744.
Thus, GCF of Fractions is 1/9744.Finally, GCF of Fractions for 141/168, 875/464 is 1/9744.