Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9814/451,7720/7868
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 9814,7720
Greatest Common Factor of Numerators i.e. GCF of 9814,7720 is 2 .
LCM of Denominators means LCM of 451,7868 as per the given fractions.
LCM of 451,7868 is 3548468 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9814,7720
2 | 9814, 7720 |
4907, 3860 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9814
List of positive integer factors of 9814 that divides 9814 without a remainder.
1,2,7,14,701,1402,4907,9814
Factors of 7720
List of positive integer factors of 7720 that divides 7720 without a remainder.
1,2,4,5,8,10,20,40,193,386,772,965,1544,1930,3860,7720
Greatest Common Factor
We found the factors 9814,7720 . The biggest common factor number is the GCF number.
So the greatest common factor 9814,7720 is 2.
Lets's calculate LCM of 451,7868
Given numbers has no common factors except 1. So, there LCM is their product i.e 3548468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3548468
Therefore, the GCF of Fractions 9814/451,7720/7868 is 2/3548468
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 451,7868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,7868) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,7868) x common factors =1 x 1 = 1
LCM(451,7868) = ( 451 × 7868 ) / 1
LCM(451,7868) = 3548468 / 1
LCM(451,7868) = 3548468
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 9814/451, 7720/7868?
Answer: GCF of Numerators as per given numbers 9814/451, 7720/7868 is
GCF of Numerators i.e. for 9814,7720 is 2
LCM of denominators i.e. for 451,7868 is 3548468.
Thus, GCF of Fractions is 2/3548468.Finally, GCF of Fractions for 9814/451, 7720/7868 is 2/3548468.