Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 655/88,439/59,188/342
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 655,439,188
Greatest Common Factor of Numerators i.e. GCF of 655,439,188 is 1 .
LCM of Denominators means LCM of 88,59,342 as per the given fractions.
LCM of 88,59,342 is 887832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 655,439,188
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Greatest Common Factor
We found the factors 655,439,188 . The biggest common factor number is the GCF number.
So the greatest common factor 655,439,188 is 1.
Lets's calculate LCM of 88,59,342
2 | 88, 59, 342 |
44, 59, 171 |
∴ So the LCM of the given numbers is 2 x 44 x 59 x 171 = 887832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/887832
Therefore, the GCF of Fractions 655/88,439/59,188/342 is 1/887832
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 88,59,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,59,342) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(88,59,342) x common factors =1 x 2 = 2
LCM(88,59,342) = ( 88 × 59 × 342 ) / 2
LCM(88,59,342) = 1775664 / 2
LCM(88,59,342) = 887832
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 655/88, 439/59, 188/342?
Answer: GCF of Numerators as per given numbers 655/88, 439/59, 188/342 is
GCF of Numerators i.e. for 655,439,188 is 1
LCM of denominators i.e. for 88,59,342 is 887832.
Thus, GCF of Fractions is 1/887832.Finally, GCF of Fractions for 655/88, 439/59, 188/342 is 1/887832.