Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7085/931,1772/202
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 7085,1772
Greatest Common Factor of Numerators i.e. GCF of 7085,1772 is 1 .
LCM of Denominators means LCM of 931,202 as per the given fractions.
LCM of 931,202 is 188062 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7085,1772
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7085
List of positive integer factors of 7085 that divides 7085 without a remainder.
1,5,13,65,109,545,1417,7085
Factors of 1772
List of positive integer factors of 1772 that divides 1772 without a remainder.
1,2,4,443,886,1772
Greatest Common Factor
We found the factors 7085,1772 . The biggest common factor number is the GCF number.
So the greatest common factor 7085,1772 is 1.
Lets's calculate LCM of 931,202
Given numbers has no common factors except 1. So, there LCM is their product i.e 188062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188062
Therefore, the GCF of Fractions 7085/931,1772/202 is 1/188062
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 931,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,202) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,202) x common factors =1 x 1 = 1
LCM(931,202) = ( 931 × 202 ) / 1
LCM(931,202) = 188062 / 1
LCM(931,202) = 188062
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 7085/931, 1772/202?
Answer: GCF of Numerators as per given numbers 7085/931, 1772/202 is
GCF of Numerators i.e. for 7085,1772 is 1
LCM of denominators i.e. for 931,202 is 188062.
Thus, GCF of Fractions is 1/188062.Finally, GCF of Fractions for 7085/931, 1772/202 is 1/188062.