Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7373/30,7836/701
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 7373,7836
Greatest Common Factor of Numerators i.e. GCF of 7373,7836 is 1 .
LCM of Denominators means LCM of 30,701 as per the given fractions.
LCM of 30,701 is 21030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7373,7836
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7373
List of positive integer factors of 7373 that divides 7373 without a remainder.
1,73,101,7373
Factors of 7836
List of positive integer factors of 7836 that divides 7836 without a remainder.
1,2,3,4,6,12,653,1306,1959,2612,3918,7836
Greatest Common Factor
We found the factors 7373,7836 . The biggest common factor number is the GCF number.
So the greatest common factor 7373,7836 is 1.
Lets's calculate LCM of 30,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 21030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21030
Therefore, the GCF of Fractions 7373/30,7836/701 is 1/21030
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 30,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,701) x common factors =1 x 1 = 1
LCM(30,701) = ( 30 × 701 ) / 1
LCM(30,701) = 21030 / 1
LCM(30,701) = 21030
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 7373/30, 7836/701?
Answer: GCF of Numerators as per given numbers 7373/30, 7836/701 is
GCF of Numerators i.e. for 7373,7836 is 1
LCM of denominators i.e. for 30,701 is 21030.
Thus, GCF of Fractions is 1/21030.Finally, GCF of Fractions for 7373/30, 7836/701 is 1/21030.