Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 566/4441,672/7943
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 566,672
Greatest Common Factor of Numerators i.e. GCF of 566,672 is 2 .
LCM of Denominators means LCM of 4441,7943 as per the given fractions.
LCM of 4441,7943 is 35274863 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 566,672
2 | 566, 672 |
283, 336 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Greatest Common Factor
We found the factors 566,672 . The biggest common factor number is the GCF number.
So the greatest common factor 566,672 is 2.
Lets's calculate LCM of 4441,7943
Given numbers has no common factors except 1. So, there LCM is their product i.e 35274863
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35274863
Therefore, the GCF of Fractions 566/4441,672/7943 is 2/35274863
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 4441,7943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4441,7943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4441,7943) x common factors =1 x 1 = 1
LCM(4441,7943) = ( 4441 × 7943 ) / 1
LCM(4441,7943) = 35274863 / 1
LCM(4441,7943) = 35274863
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 566/4441, 672/7943?
Answer: GCF of Numerators as per given numbers 566/4441, 672/7943 is
GCF of Numerators i.e. for 566,672 is 2
LCM of denominators i.e. for 4441,7943 is 35274863.
Thus, GCF of Fractions is 2/35274863.Finally, GCF of Fractions for 566/4441, 672/7943 is 2/35274863.