Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3751/700,9396/545
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 3751,9396
Greatest Common Factor of Numerators i.e. GCF of 3751,9396 is 1 .
LCM of Denominators means LCM of 700,545 as per the given fractions.
LCM of 700,545 is 76300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3751,9396
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3751
List of positive integer factors of 3751 that divides 3751 without a remainder.
1,11,31,121,341,3751
Factors of 9396
List of positive integer factors of 9396 that divides 9396 without a remainder.
1,2,3,4,6,9,12,18,27,29,36,54,58,81,87,108,116,162,174,261,324,348,522,783,1044,1566,2349,3132,4698,9396
Greatest Common Factor
We found the factors 3751,9396 . The biggest common factor number is the GCF number.
So the greatest common factor 3751,9396 is 1.
Lets's calculate LCM of 700,545
5 | 700, 545 |
140, 109 |
∴ So the LCM of the given numbers is 5 x 140 x 109 = 76300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76300
Therefore, the GCF of Fractions 3751/700,9396/545 is 1/76300
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 700,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,545) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(700,545) x common factors =5 x 1 = 5
LCM(700,545) = ( 700 × 545 ) / 5
LCM(700,545) = 381500 / 5
LCM(700,545) = 76300
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 3751/700, 9396/545?
Answer: GCF of Numerators as per given numbers 3751/700, 9396/545 is
GCF of Numerators i.e. for 3751,9396 is 1
LCM of denominators i.e. for 700,545 is 76300.
Thus, GCF of Fractions is 1/76300.Finally, GCF of Fractions for 3751/700, 9396/545 is 1/76300.