Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6680/434,9802/989
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 6680,9802
Greatest Common Factor of Numerators i.e. GCF of 6680,9802 is 2 .
LCM of Denominators means LCM of 434,989 as per the given fractions.
LCM of 434,989 is 429226 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6680,9802
2 | 6680, 9802 |
3340, 4901 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6680
List of positive integer factors of 6680 that divides 6680 without a remainder.
1,2,4,5,8,10,20,40,167,334,668,835,1336,1670,3340,6680
Factors of 9802
List of positive integer factors of 9802 that divides 9802 without a remainder.
1,2,13,26,29,58,169,338,377,754,4901,9802
Greatest Common Factor
We found the factors 6680,9802 . The biggest common factor number is the GCF number.
So the greatest common factor 6680,9802 is 2.
Lets's calculate LCM of 434,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 429226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/429226
Therefore, the GCF of Fractions 6680/434,9802/989 is 2/429226
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 434,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(434,989) x common factors =1 x 1 = 1
LCM(434,989) = ( 434 × 989 ) / 1
LCM(434,989) = 429226 / 1
LCM(434,989) = 429226
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 6680/434, 9802/989?
Answer: GCF of Numerators as per given numbers 6680/434, 9802/989 is
GCF of Numerators i.e. for 6680,9802 is 2
LCM of denominators i.e. for 434,989 is 429226.
Thus, GCF of Fractions is 2/429226.Finally, GCF of Fractions for 6680/434, 9802/989 is 2/429226.