Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7986/67,7052/901
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 7986,7052
Greatest Common Factor of Numerators i.e. GCF of 7986,7052 is 2 .
LCM of Denominators means LCM of 67,901 as per the given fractions.
LCM of 67,901 is 60367 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7986,7052
2 | 7986, 7052 |
3993, 3526 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7986
List of positive integer factors of 7986 that divides 7986 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726,1331,2662,3993,7986
Factors of 7052
List of positive integer factors of 7052 that divides 7052 without a remainder.
1,2,4,41,43,82,86,164,172,1763,3526,7052
Greatest Common Factor
We found the factors 7986,7052 . The biggest common factor number is the GCF number.
So the greatest common factor 7986,7052 is 2.
Lets's calculate LCM of 67,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 60367
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60367
Therefore, the GCF of Fractions 7986/67,7052/901 is 2/60367
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 67,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,901) x common factors =1 x 1 = 1
LCM(67,901) = ( 67 × 901 ) / 1
LCM(67,901) = 60367 / 1
LCM(67,901) = 60367
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 7986/67, 7052/901?
Answer: GCF of Numerators as per given numbers 7986/67, 7052/901 is
GCF of Numerators i.e. for 7986,7052 is 2
LCM of denominators i.e. for 67,901 is 60367.
Thus, GCF of Fractions is 2/60367.Finally, GCF of Fractions for 7986/67, 7052/901 is 2/60367.