Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4479/680,8161/9902
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 4479,8161
Greatest Common Factor of Numerators i.e. GCF of 4479,8161 is 1 .
LCM of Denominators means LCM of 680,9902 as per the given fractions.
LCM of 680,9902 is 3366680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4479,8161
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4479
List of positive integer factors of 4479 that divides 4479 without a remainder.
1,3,1493,4479
Factors of 8161
List of positive integer factors of 8161 that divides 8161 without a remainder.
1,8161
Greatest Common Factor
We found the factors 4479,8161 . The biggest common factor number is the GCF number.
So the greatest common factor 4479,8161 is 1.
Lets's calculate LCM of 680,9902
2 | 680, 9902 |
340, 4951 |
∴ So the LCM of the given numbers is 2 x 340 x 4951 = 3366680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3366680
Therefore, the GCF of Fractions 4479/680,8161/9902 is 1/3366680
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 680,9902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,9902) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(680,9902) x common factors =2 x 1 = 2
LCM(680,9902) = ( 680 × 9902 ) / 2
LCM(680,9902) = 6733360 / 2
LCM(680,9902) = 3366680
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 4479/680, 8161/9902?
Answer: GCF of Numerators as per given numbers 4479/680, 8161/9902 is
GCF of Numerators i.e. for 4479,8161 is 1
LCM of denominators i.e. for 680,9902 is 3366680.
Thus, GCF of Fractions is 1/3366680.Finally, GCF of Fractions for 4479/680, 8161/9902 is 1/3366680.