Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4060/824,6925/6011
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 4060,6925
Greatest Common Factor of Numerators i.e. GCF of 4060,6925 is 5 .
LCM of Denominators means LCM of 824,6011 as per the given fractions.
LCM of 824,6011 is 4953064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4060,6925
5 | 4060, 6925 |
812, 1385 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 4060
List of positive integer factors of 4060 that divides 4060 without a remainder.
1,2,4,5,7,10,14,20,28,29,35,58,70,116,140,145,203,290,406,580,812,1015,2030,4060
Factors of 6925
List of positive integer factors of 6925 that divides 6925 without a remainder.
1,5,25,277,1385,6925
Greatest Common Factor
We found the factors 4060,6925 . The biggest common factor number is the GCF number.
So the greatest common factor 4060,6925 is 5.
Lets's calculate LCM of 824,6011
Given numbers has no common factors except 1. So, there LCM is their product i.e 4953064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4953064
Therefore, the GCF of Fractions 4060/824,6925/6011 is 5/4953064
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 824,6011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,6011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(824,6011) x common factors =1 x 1 = 1
LCM(824,6011) = ( 824 × 6011 ) / 1
LCM(824,6011) = 4953064 / 1
LCM(824,6011) = 4953064
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 4060/824, 6925/6011?
Answer: GCF of Numerators as per given numbers 4060/824, 6925/6011 is
GCF of Numerators i.e. for 4060,6925 is 5
LCM of denominators i.e. for 824,6011 is 4953064.
Thus, GCF of Fractions is 5/4953064.Finally, GCF of Fractions for 4060/824, 6925/6011 is 5/4953064.