Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/118,399/140,142/210
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 46,399,142
Greatest Common Factor of Numerators i.e. GCF of 46,399,142 is 1 .
LCM of Denominators means LCM of 118,140,210 as per the given fractions.
LCM of 118,140,210 is 24780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 46,399,142
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Greatest Common Factor
We found the factors 46,399,142 . The biggest common factor number is the GCF number.
So the greatest common factor 46,399,142 is 1.
Lets's calculate LCM of 118,140,210
2 | 118, 140, 210 |
5 | 59, 70, 105 |
7 | 59, 14, 21 |
59, 2, 3 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 59 x 2 x 3 = 24780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24780
Therefore, the GCF of Fractions 46/118,399/140,142/210 is 1/24780
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 118,140,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,140,210) = 2
common factors(in case of two or more numbers have common factors) = 70
GCF(118,140,210) x common factors =2 x 70 = 140
LCM(118,140,210) = ( 118 × 140 × 210 ) / 140
LCM(118,140,210) = 3469200 / 140
LCM(118,140,210) = 24780
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 46/118, 399/140, 142/210?
Answer: GCF of Numerators as per given numbers 46/118, 399/140, 142/210 is
GCF of Numerators i.e. for 46,399,142 is 1
LCM of denominators i.e. for 118,140,210 is 24780.
Thus, GCF of Fractions is 1/24780.Finally, GCF of Fractions for 46/118, 399/140, 142/210 is 1/24780.