Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 547/400,653/674,858/457
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 547,653,858
Greatest Common Factor of Numerators i.e. GCF of 547,653,858 is 1 .
LCM of Denominators means LCM of 400,674,457 as per the given fractions.
LCM of 400,674,457 is 61603600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 547,653,858
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 547,653,858 . The biggest common factor number is the GCF number.
So the greatest common factor 547,653,858 is 1.
Lets's calculate LCM of 400,674,457
2 | 400, 674, 457 |
200, 337, 457 |
∴ So the LCM of the given numbers is 2 x 200 x 337 x 457 = 61603600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61603600
Therefore, the GCF of Fractions 547/400,653/674,858/457 is 1/61603600
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 400,674,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,674,457) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(400,674,457) x common factors =1 x 2 = 2
LCM(400,674,457) = ( 400 × 674 × 457 ) / 2
LCM(400,674,457) = 123207200 / 2
LCM(400,674,457) = 61603600
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 547/400, 653/674, 858/457?
Answer: GCF of Numerators as per given numbers 547/400, 653/674, 858/457 is
GCF of Numerators i.e. for 547,653,858 is 1
LCM of denominators i.e. for 400,674,457 is 61603600.
Thus, GCF of Fractions is 1/61603600.Finally, GCF of Fractions for 547/400, 653/674, 858/457 is 1/61603600.