Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3682/661,9414/540
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 3682,9414
Greatest Common Factor of Numerators i.e. GCF of 3682,9414 is 2 .
LCM of Denominators means LCM of 661,540 as per the given fractions.
LCM of 661,540 is 356940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3682,9414
2 | 3682, 9414 |
1841, 4707 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3682
List of positive integer factors of 3682 that divides 3682 without a remainder.
1,2,7,14,263,526,1841,3682
Factors of 9414
List of positive integer factors of 9414 that divides 9414 without a remainder.
1,2,3,6,9,18,523,1046,1569,3138,4707,9414
Greatest Common Factor
We found the factors 3682,9414 . The biggest common factor number is the GCF number.
So the greatest common factor 3682,9414 is 2.
Lets's calculate LCM of 661,540
Given numbers has no common factors except 1. So, there LCM is their product i.e 356940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/356940
Therefore, the GCF of Fractions 3682/661,9414/540 is 2/356940
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 661,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,540) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,540) x common factors =1 x 1 = 1
LCM(661,540) = ( 661 × 540 ) / 1
LCM(661,540) = 356940 / 1
LCM(661,540) = 356940
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 3682/661, 9414/540?
Answer: GCF of Numerators as per given numbers 3682/661, 9414/540 is
GCF of Numerators i.e. for 3682,9414 is 2
LCM of denominators i.e. for 661,540 is 356940.
Thus, GCF of Fractions is 2/356940.Finally, GCF of Fractions for 3682/661, 9414/540 is 2/356940.