Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7259/602,3279/6828
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 7259,3279
Greatest Common Factor of Numerators i.e. GCF of 7259,3279 is 1 .
LCM of Denominators means LCM of 602,6828 as per the given fractions.
LCM of 602,6828 is 2055228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7259,3279
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7259
List of positive integer factors of 7259 that divides 7259 without a remainder.
1,7,17,61,119,427,1037,7259
Factors of 3279
List of positive integer factors of 3279 that divides 3279 without a remainder.
1,3,1093,3279
Greatest Common Factor
We found the factors 7259,3279 . The biggest common factor number is the GCF number.
So the greatest common factor 7259,3279 is 1.
Lets's calculate LCM of 602,6828
2 | 602, 6828 |
301, 3414 |
∴ So the LCM of the given numbers is 2 x 301 x 3414 = 2055228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2055228
Therefore, the GCF of Fractions 7259/602,3279/6828 is 1/2055228
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 602,6828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,6828) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(602,6828) x common factors =2 x 1 = 2
LCM(602,6828) = ( 602 × 6828 ) / 2
LCM(602,6828) = 4110456 / 2
LCM(602,6828) = 2055228
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 7259/602, 3279/6828?
Answer: GCF of Numerators as per given numbers 7259/602, 3279/6828 is
GCF of Numerators i.e. for 7259,3279 is 1
LCM of denominators i.e. for 602,6828 is 2055228.
Thus, GCF of Fractions is 1/2055228.Finally, GCF of Fractions for 7259/602, 3279/6828 is 1/2055228.