Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8575/249,9603/6279
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 8575,9603
Greatest Common Factor of Numerators i.e. GCF of 8575,9603 is 1 .
LCM of Denominators means LCM of 249,6279 as per the given fractions.
LCM of 249,6279 is 521157 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8575,9603
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8575
List of positive integer factors of 8575 that divides 8575 without a remainder.
1,5,7,25,35,49,175,245,343,1225,1715,8575
Factors of 9603
List of positive integer factors of 9603 that divides 9603 without a remainder.
1,3,9,11,33,97,99,291,873,1067,3201,9603
Greatest Common Factor
We found the factors 8575,9603 . The biggest common factor number is the GCF number.
So the greatest common factor 8575,9603 is 1.
Lets's calculate LCM of 249,6279
3 | 249, 6279 |
83, 2093 |
∴ So the LCM of the given numbers is 3 x 83 x 2093 = 521157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/521157
Therefore, the GCF of Fractions 8575/249,9603/6279 is 1/521157
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 249,6279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,6279) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(249,6279) x common factors =3 x 1 = 3
LCM(249,6279) = ( 249 × 6279 ) / 3
LCM(249,6279) = 1563471 / 3
LCM(249,6279) = 521157
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 8575/249, 9603/6279?
Answer: GCF of Numerators as per given numbers 8575/249, 9603/6279 is
GCF of Numerators i.e. for 8575,9603 is 1
LCM of denominators i.e. for 249,6279 is 521157.
Thus, GCF of Fractions is 1/521157.Finally, GCF of Fractions for 8575/249, 9603/6279 is 1/521157.