Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6294/18,8542/508
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 6294,8542
Greatest Common Factor of Numerators i.e. GCF of 6294,8542 is 2 .
LCM of Denominators means LCM of 18,508 as per the given fractions.
LCM of 18,508 is 4572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6294,8542
2 | 6294, 8542 |
3147, 4271 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6294
List of positive integer factors of 6294 that divides 6294 without a remainder.
1,2,3,6,1049,2098,3147,6294
Factors of 8542
List of positive integer factors of 8542 that divides 8542 without a remainder.
1,2,4271,8542
Greatest Common Factor
We found the factors 6294,8542 . The biggest common factor number is the GCF number.
So the greatest common factor 6294,8542 is 2.
Lets's calculate LCM of 18,508
2 | 18, 508 |
9, 254 |
∴ So the LCM of the given numbers is 2 x 9 x 254 = 4572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4572
Therefore, the GCF of Fractions 6294/18,8542/508 is 2/4572
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 18,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,508) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(18,508) x common factors =2 x 1 = 2
LCM(18,508) = ( 18 × 508 ) / 2
LCM(18,508) = 9144 / 2
LCM(18,508) = 4572
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 6294/18, 8542/508?
Answer: GCF of Numerators as per given numbers 6294/18, 8542/508 is
GCF of Numerators i.e. for 6294,8542 is 2
LCM of denominators i.e. for 18,508 is 4572.
Thus, GCF of Fractions is 2/4572.Finally, GCF of Fractions for 6294/18, 8542/508 is 2/4572.