Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4436/370,7615/385
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 4436,7615
Greatest Common Factor of Numerators i.e. GCF of 4436,7615 is 1 .
LCM of Denominators means LCM of 370,385 as per the given fractions.
LCM of 370,385 is 28490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4436,7615
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4436
List of positive integer factors of 4436 that divides 4436 without a remainder.
1,2,4,1109,2218,4436
Factors of 7615
List of positive integer factors of 7615 that divides 7615 without a remainder.
1,5,1523,7615
Greatest Common Factor
We found the factors 4436,7615 . The biggest common factor number is the GCF number.
So the greatest common factor 4436,7615 is 1.
Lets's calculate LCM of 370,385
5 | 370, 385 |
74, 77 |
∴ So the LCM of the given numbers is 5 x 74 x 77 = 28490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28490
Therefore, the GCF of Fractions 4436/370,7615/385 is 1/28490
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 370,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,385) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(370,385) x common factors =5 x 1 = 5
LCM(370,385) = ( 370 × 385 ) / 5
LCM(370,385) = 142450 / 5
LCM(370,385) = 28490
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 4436/370, 7615/385?
Answer: GCF of Numerators as per given numbers 4436/370, 7615/385 is
GCF of Numerators i.e. for 4436,7615 is 1
LCM of denominators i.e. for 370,385 is 28490.
Thus, GCF of Fractions is 1/28490.Finally, GCF of Fractions for 4436/370, 7615/385 is 1/28490.