Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2733/86,1070/660
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 2733,1070
Greatest Common Factor of Numerators i.e. GCF of 2733,1070 is 1 .
LCM of Denominators means LCM of 86,660 as per the given fractions.
LCM of 86,660 is 28380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2733,1070
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2733
List of positive integer factors of 2733 that divides 2733 without a remainder.
1,3,911,2733
Factors of 1070
List of positive integer factors of 1070 that divides 1070 without a remainder.
1,2,5,10,107,214,535,1070
Greatest Common Factor
We found the factors 2733,1070 . The biggest common factor number is the GCF number.
So the greatest common factor 2733,1070 is 1.
Lets's calculate LCM of 86,660
2 | 86, 660 |
43, 330 |
∴ So the LCM of the given numbers is 2 x 43 x 330 = 28380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28380
Therefore, the GCF of Fractions 2733/86,1070/660 is 1/28380
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 86,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,660) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,660) x common factors =2 x 1 = 2
LCM(86,660) = ( 86 × 660 ) / 2
LCM(86,660) = 56760 / 2
LCM(86,660) = 28380
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 2733/86, 1070/660?
Answer: GCF of Numerators as per given numbers 2733/86, 1070/660 is
GCF of Numerators i.e. for 2733,1070 is 1
LCM of denominators i.e. for 86,660 is 28380.
Thus, GCF of Fractions is 1/28380.Finally, GCF of Fractions for 2733/86, 1070/660 is 1/28380.