Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7092/70,1873/307
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 7092,1873
Greatest Common Factor of Numerators i.e. GCF of 7092,1873 is 1 .
LCM of Denominators means LCM of 70,307 as per the given fractions.
LCM of 70,307 is 21490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7092,1873
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7092
List of positive integer factors of 7092 that divides 7092 without a remainder.
1,2,3,4,6,9,12,18,36,197,394,591,788,1182,1773,2364,3546,7092
Factors of 1873
List of positive integer factors of 1873 that divides 1873 without a remainder.
1,1873
Greatest Common Factor
We found the factors 7092,1873 . The biggest common factor number is the GCF number.
So the greatest common factor 7092,1873 is 1.
Lets's calculate LCM of 70,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 21490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21490
Therefore, the GCF of Fractions 7092/70,1873/307 is 1/21490
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 70,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,307) x common factors =1 x 1 = 1
LCM(70,307) = ( 70 × 307 ) / 1
LCM(70,307) = 21490 / 1
LCM(70,307) = 21490
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 7092/70, 1873/307?
Answer: GCF of Numerators as per given numbers 7092/70, 1873/307 is
GCF of Numerators i.e. for 7092,1873 is 1
LCM of denominators i.e. for 70,307 is 21490.
Thus, GCF of Fractions is 1/21490.Finally, GCF of Fractions for 7092/70, 1873/307 is 1/21490.