Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6971/78,5005/974
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 6971,5005
Greatest Common Factor of Numerators i.e. GCF of 6971,5005 is 1 .
LCM of Denominators means LCM of 78,974 as per the given fractions.
LCM of 78,974 is 37986 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6971,5005
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6971
List of positive integer factors of 6971 that divides 6971 without a remainder.
1,6971
Factors of 5005
List of positive integer factors of 5005 that divides 5005 without a remainder.
1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005
Greatest Common Factor
We found the factors 6971,5005 . The biggest common factor number is the GCF number.
So the greatest common factor 6971,5005 is 1.
Lets's calculate LCM of 78,974
2 | 78, 974 |
39, 487 |
∴ So the LCM of the given numbers is 2 x 39 x 487 = 37986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37986
Therefore, the GCF of Fractions 6971/78,5005/974 is 1/37986
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 78,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(78,974) x common factors =2 x 1 = 2
LCM(78,974) = ( 78 × 974 ) / 2
LCM(78,974) = 75972 / 2
LCM(78,974) = 37986
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 6971/78, 5005/974?
Answer: GCF of Numerators as per given numbers 6971/78, 5005/974 is
GCF of Numerators i.e. for 6971,5005 is 1
LCM of denominators i.e. for 78,974 is 37986.
Thus, GCF of Fractions is 1/37986.Finally, GCF of Fractions for 6971/78, 5005/974 is 1/37986.