Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 764/11,420/1405
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 764,420
Greatest Common Factor of Numerators i.e. GCF of 764,420 is 4 .
LCM of Denominators means LCM of 11,1405 as per the given fractions.
LCM of 11,1405 is 15455 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 764,420
2 | 764, 420 |
2 | 382, 210 |
191, 105 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 764,420 . The biggest common factor number is the GCF number.
So the greatest common factor 764,420 is 4.
Lets's calculate LCM of 11,1405
Given numbers has no common factors except 1. So, there LCM is their product i.e 15455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/15455
Therefore, the GCF of Fractions 764/11,420/1405 is 4/15455
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 11,1405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,1405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,1405) x common factors =1 x 1 = 1
LCM(11,1405) = ( 11 × 1405 ) / 1
LCM(11,1405) = 15455 / 1
LCM(11,1405) = 15455
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 764/11, 420/1405?
Answer: GCF of Numerators as per given numbers 764/11, 420/1405 is
GCF of Numerators i.e. for 764,420 is 4
LCM of denominators i.e. for 11,1405 is 15455.
Thus, GCF of Fractions is 4/15455.Finally, GCF of Fractions for 764/11, 420/1405 is 4/15455.