Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 673/165,5282/553
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 673,5282
Greatest Common Factor of Numerators i.e. GCF of 673,5282 is 1 .
LCM of Denominators means LCM of 165,553 as per the given fractions.
LCM of 165,553 is 91245 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 673,5282
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Factors of 5282
List of positive integer factors of 5282 that divides 5282 without a remainder.
1,2,19,38,139,278,2641,5282
Greatest Common Factor
We found the factors 673,5282 . The biggest common factor number is the GCF number.
So the greatest common factor 673,5282 is 1.
Lets's calculate LCM of 165,553
Given numbers has no common factors except 1. So, there LCM is their product i.e 91245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91245
Therefore, the GCF of Fractions 673/165,5282/553 is 1/91245
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 165,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,553) x common factors =1 x 1 = 1
LCM(165,553) = ( 165 × 553 ) / 1
LCM(165,553) = 91245 / 1
LCM(165,553) = 91245
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 673/165, 5282/553?
Answer: GCF of Numerators as per given numbers 673/165, 5282/553 is
GCF of Numerators i.e. for 673,5282 is 1
LCM of denominators i.e. for 165,553 is 91245.
Thus, GCF of Fractions is 1/91245.Finally, GCF of Fractions for 673/165, 5282/553 is 1/91245.