Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/61,27/79,84/341,146/715
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 9,27,84,146
Greatest Common Factor of Numerators i.e. GCF of 9,27,84,146 is 1 .
LCM of Denominators means LCM of 61,79,341,715 as per the given fractions.
LCM of 61,79,341,715 is 106813135 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,27,84,146
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors 9,27,84,146 . The biggest common factor number is the GCF number.
So the greatest common factor 9,27,84,146 is 1.
Lets's calculate LCM of 61,79,341,715
11 | 61, 79, 341, 715 |
61, 79, 31, 65 |
∴ So the LCM of the given numbers is 11 x 61 x 79 x 31 x 65 = 106813135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106813135
Therefore, the GCF of Fractions 9/61,27/79,84/341,146/715 is 1/106813135
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 61,79,341,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,79,341,715) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(61,79,341,715) x common factors =1 x 11 = 11
LCM(61,79,341,715) = ( 61 × 79 × 341 × 715 ) / 11
LCM(61,79,341,715) = 1174944485 / 11
LCM(61,79,341,715) = 106813135
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 9/61, 27/79, 84/341, 146/715?
Answer: GCF of Numerators as per given numbers 9/61, 27/79, 84/341, 146/715 is
GCF of Numerators i.e. for 9,27,84,146 is 1
LCM of denominators i.e. for 61,79,341,715 is 106813135.
Thus, GCF of Fractions is 1/106813135.Finally, GCF of Fractions for 9/61, 27/79, 84/341, 146/715 is 1/106813135.