Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4689/428,8456/568
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 4689,8456
Greatest Common Factor of Numerators i.e. GCF of 4689,8456 is 1 .
LCM of Denominators means LCM of 428,568 as per the given fractions.
LCM of 428,568 is 60776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4689,8456
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4689
List of positive integer factors of 4689 that divides 4689 without a remainder.
1,3,9,521,1563,4689
Factors of 8456
List of positive integer factors of 8456 that divides 8456 without a remainder.
1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456
Greatest Common Factor
We found the factors 4689,8456 . The biggest common factor number is the GCF number.
So the greatest common factor 4689,8456 is 1.
Lets's calculate LCM of 428,568
2 | 428, 568 |
2 | 214, 284 |
107, 142 |
∴ So the LCM of the given numbers is 2 x 2 x 107 x 142 = 60776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60776
Therefore, the GCF of Fractions 4689/428,8456/568 is 1/60776
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 428,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,568) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(428,568) x common factors =4 x 1 = 4
LCM(428,568) = ( 428 × 568 ) / 4
LCM(428,568) = 243104 / 4
LCM(428,568) = 60776
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 4689/428, 8456/568?
Answer: GCF of Numerators as per given numbers 4689/428, 8456/568 is
GCF of Numerators i.e. for 4689,8456 is 1
LCM of denominators i.e. for 428,568 is 60776.
Thus, GCF of Fractions is 1/60776.Finally, GCF of Fractions for 4689/428, 8456/568 is 1/60776.