Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4573/651,6443/5302
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 4573,6443
Greatest Common Factor of Numerators i.e. GCF of 4573,6443 is 17 .
LCM of Denominators means LCM of 651,5302 as per the given fractions.
LCM of 651,5302 is 3451602 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4573,6443
17 | 4573, 6443 |
269, 379 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 4573
List of positive integer factors of 4573 that divides 4573 without a remainder.
1,17,269,4573
Factors of 6443
List of positive integer factors of 6443 that divides 6443 without a remainder.
1,17,379,6443
Greatest Common Factor
We found the factors 4573,6443 . The biggest common factor number is the GCF number.
So the greatest common factor 4573,6443 is 17.
Lets's calculate LCM of 651,5302
Given numbers has no common factors except 1. So, there LCM is their product i.e 3451602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/3451602
Therefore, the GCF of Fractions 4573/651,6443/5302 is 17/3451602
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 651,5302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,5302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(651,5302) x common factors =1 x 1 = 1
LCM(651,5302) = ( 651 × 5302 ) / 1
LCM(651,5302) = 3451602 / 1
LCM(651,5302) = 3451602
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 4573/651, 6443/5302?
Answer: GCF of Numerators as per given numbers 4573/651, 6443/5302 is
GCF of Numerators i.e. for 4573,6443 is 17
LCM of denominators i.e. for 651,5302 is 3451602.
Thus, GCF of Fractions is 17/3451602.Finally, GCF of Fractions for 4573/651, 6443/5302 is 17/3451602.