Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6234/73,7557/421
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 6234,7557
Greatest Common Factor of Numerators i.e. GCF of 6234,7557 is 3 .
LCM of Denominators means LCM of 73,421 as per the given fractions.
LCM of 73,421 is 30733 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6234,7557
3 | 6234, 7557 |
2078, 2519 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6234
List of positive integer factors of 6234 that divides 6234 without a remainder.
1,2,3,6,1039,2078,3117,6234
Factors of 7557
List of positive integer factors of 7557 that divides 7557 without a remainder.
1,3,11,33,229,687,2519,7557
Greatest Common Factor
We found the factors 6234,7557 . The biggest common factor number is the GCF number.
So the greatest common factor 6234,7557 is 3.
Lets's calculate LCM of 73,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 30733
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30733
Therefore, the GCF of Fractions 6234/73,7557/421 is 3/30733
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 73,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,421) x common factors =1 x 1 = 1
LCM(73,421) = ( 73 × 421 ) / 1
LCM(73,421) = 30733 / 1
LCM(73,421) = 30733
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 6234/73, 7557/421?
Answer: GCF of Numerators as per given numbers 6234/73, 7557/421 is
GCF of Numerators i.e. for 6234,7557 is 3
LCM of denominators i.e. for 73,421 is 30733.
Thus, GCF of Fractions is 3/30733.Finally, GCF of Fractions for 6234/73, 7557/421 is 3/30733.