Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/340,74/124,182/891
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 65,74,182
Greatest Common Factor of Numerators i.e. GCF of 65,74,182 is 1 .
LCM of Denominators means LCM of 340,124,891 as per the given fractions.
LCM of 340,124,891 is 9391140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 65,74,182
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 65,74,182 . The biggest common factor number is the GCF number.
So the greatest common factor 65,74,182 is 1.
Lets's calculate LCM of 340,124,891
2 | 340, 124, 891 |
2 | 170, 62, 891 |
85, 31, 891 |
∴ So the LCM of the given numbers is 2 x 2 x 85 x 31 x 891 = 9391140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9391140
Therefore, the GCF of Fractions 65/340,74/124,182/891 is 1/9391140
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 340,124,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,124,891) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(340,124,891) x common factors =1 x 4 = 4
LCM(340,124,891) = ( 340 × 124 × 891 ) / 4
LCM(340,124,891) = 37564560 / 4
LCM(340,124,891) = 9391140
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 65/340, 74/124, 182/891?
Answer: GCF of Numerators as per given numbers 65/340, 74/124, 182/891 is
GCF of Numerators i.e. for 65,74,182 is 1
LCM of denominators i.e. for 340,124,891 is 9391140.
Thus, GCF of Fractions is 1/9391140.Finally, GCF of Fractions for 65/340, 74/124, 182/891 is 1/9391140.