Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 654/62,653/61,669/108
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 654,653,669
Greatest Common Factor of Numerators i.e. GCF of 654,653,669 is 1 .
LCM of Denominators means LCM of 62,61,108 as per the given fractions.
LCM of 62,61,108 is 204228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 654,653,669
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Greatest Common Factor
We found the factors 654,653,669 . The biggest common factor number is the GCF number.
So the greatest common factor 654,653,669 is 1.
Lets's calculate LCM of 62,61,108
2 | 62, 61, 108 |
31, 61, 54 |
∴ So the LCM of the given numbers is 2 x 31 x 61 x 54 = 204228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204228
Therefore, the GCF of Fractions 654/62,653/61,669/108 is 1/204228
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 62,61,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,61,108) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,61,108) x common factors =1 x 2 = 2
LCM(62,61,108) = ( 62 × 61 × 108 ) / 2
LCM(62,61,108) = 408456 / 2
LCM(62,61,108) = 204228
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 654/62, 653/61, 669/108?
Answer: GCF of Numerators as per given numbers 654/62, 653/61, 669/108 is
GCF of Numerators i.e. for 654,653,669 is 1
LCM of denominators i.e. for 62,61,108 is 204228.
Thus, GCF of Fractions is 1/204228.Finally, GCF of Fractions for 654/62, 653/61, 669/108 is 1/204228.