Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9236/385,1661/7646
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 9236,1661
Greatest Common Factor of Numerators i.e. GCF of 9236,1661 is 1 .
LCM of Denominators means LCM of 385,7646 as per the given fractions.
LCM of 385,7646 is 2943710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9236,1661
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9236
List of positive integer factors of 9236 that divides 9236 without a remainder.
1,2,4,2309,4618,9236
Factors of 1661
List of positive integer factors of 1661 that divides 1661 without a remainder.
1,11,151,1661
Greatest Common Factor
We found the factors 9236,1661 . The biggest common factor number is the GCF number.
So the greatest common factor 9236,1661 is 1.
Lets's calculate LCM of 385,7646
Given numbers has no common factors except 1. So, there LCM is their product i.e 2943710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2943710
Therefore, the GCF of Fractions 9236/385,1661/7646 is 1/2943710
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 385,7646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,7646) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,7646) x common factors =1 x 1 = 1
LCM(385,7646) = ( 385 × 7646 ) / 1
LCM(385,7646) = 2943710 / 1
LCM(385,7646) = 2943710
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 9236/385, 1661/7646?
Answer: GCF of Numerators as per given numbers 9236/385, 1661/7646 is
GCF of Numerators i.e. for 9236,1661 is 1
LCM of denominators i.e. for 385,7646 is 2943710.
Thus, GCF of Fractions is 1/2943710.Finally, GCF of Fractions for 9236/385, 1661/7646 is 1/2943710.