Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3661/953,2620/6949
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 3661,2620
Greatest Common Factor of Numerators i.e. GCF of 3661,2620 is 1 .
LCM of Denominators means LCM of 953,6949 as per the given fractions.
LCM of 953,6949 is 6622397 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3661,2620
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3661
List of positive integer factors of 3661 that divides 3661 without a remainder.
1,7,523,3661
Factors of 2620
List of positive integer factors of 2620 that divides 2620 without a remainder.
1,2,4,5,10,20,131,262,524,655,1310,2620
Greatest Common Factor
We found the factors 3661,2620 . The biggest common factor number is the GCF number.
So the greatest common factor 3661,2620 is 1.
Lets's calculate LCM of 953,6949
Given numbers has no common factors except 1. So, there LCM is their product i.e 6622397
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6622397
Therefore, the GCF of Fractions 3661/953,2620/6949 is 1/6622397
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 953,6949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,6949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,6949) x common factors =1 x 1 = 1
LCM(953,6949) = ( 953 × 6949 ) / 1
LCM(953,6949) = 6622397 / 1
LCM(953,6949) = 6622397
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 3661/953, 2620/6949?
Answer: GCF of Numerators as per given numbers 3661/953, 2620/6949 is
GCF of Numerators i.e. for 3661,2620 is 1
LCM of denominators i.e. for 953,6949 is 6622397.
Thus, GCF of Fractions is 1/6622397.Finally, GCF of Fractions for 3661/953, 2620/6949 is 1/6622397.