Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/36,53/25,23/116,685/494
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 9,53,23,685
Greatest Common Factor of Numerators i.e. GCF of 9,53,23,685 is 1 .
LCM of Denominators means LCM of 36,25,116,494 as per the given fractions.
LCM of 36,25,116,494 is 6446700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,53,23,685
∴ 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 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Greatest Common Factor
We found the factors 9,53,23,685 . The biggest common factor number is the GCF number.
So the greatest common factor 9,53,23,685 is 1.
Lets's calculate LCM of 36,25,116,494
2 | 36, 25, 116, 494 |
2 | 18, 25, 58, 247 |
9, 25, 29, 247 |
∴ So the LCM of the given numbers is 2 x 2 x 9 x 25 x 29 x 247 = 6446700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6446700
Therefore, the GCF of Fractions 9/36,53/25,23/116,685/494 is 1/6446700
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 36,25,116,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,25,116,494) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(36,25,116,494) x common factors =1 x 8 = 8
LCM(36,25,116,494) = ( 36 × 25 × 116 × 494 ) / 8
LCM(36,25,116,494) = 51573600 / 8
LCM(36,25,116,494) = 6446700
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 9/36, 53/25, 23/116, 685/494?
Answer: GCF of Numerators as per given numbers 9/36, 53/25, 23/116, 685/494 is
GCF of Numerators i.e. for 9,53,23,685 is 1
LCM of denominators i.e. for 36,25,116,494 is 6446700.
Thus, GCF of Fractions is 1/6446700.Finally, GCF of Fractions for 9/36, 53/25, 23/116, 685/494 is 1/6446700.