Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2360/178,1837/7525
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 2360,1837
Greatest Common Factor of Numerators i.e. GCF of 2360,1837 is 1 .
LCM of Denominators means LCM of 178,7525 as per the given fractions.
LCM of 178,7525 is 1339450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2360,1837
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2360
List of positive integer factors of 2360 that divides 2360 without a remainder.
1,2,4,5,8,10,20,40,59,118,236,295,472,590,1180,2360
Factors of 1837
List of positive integer factors of 1837 that divides 1837 without a remainder.
1,11,167,1837
Greatest Common Factor
We found the factors 2360,1837 . The biggest common factor number is the GCF number.
So the greatest common factor 2360,1837 is 1.
Lets's calculate LCM of 178,7525
Given numbers has no common factors except 1. So, there LCM is their product i.e 1339450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1339450
Therefore, the GCF of Fractions 2360/178,1837/7525 is 1/1339450
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 178,7525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,7525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(178,7525) x common factors =1 x 1 = 1
LCM(178,7525) = ( 178 × 7525 ) / 1
LCM(178,7525) = 1339450 / 1
LCM(178,7525) = 1339450
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 2360/178, 1837/7525?
Answer: GCF of Numerators as per given numbers 2360/178, 1837/7525 is
GCF of Numerators i.e. for 2360,1837 is 1
LCM of denominators i.e. for 178,7525 is 1339450.
Thus, GCF of Fractions is 1/1339450.Finally, GCF of Fractions for 2360/178, 1837/7525 is 1/1339450.