Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1774/91,4082/562
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 1774,4082
Greatest Common Factor of Numerators i.e. GCF of 1774,4082 is 2 .
LCM of Denominators means LCM of 91,562 as per the given fractions.
LCM of 91,562 is 51142 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1774,4082
2 | 1774, 4082 |
887, 2041 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1774
List of positive integer factors of 1774 that divides 1774 without a remainder.
1,2,887,1774
Factors of 4082
List of positive integer factors of 4082 that divides 4082 without a remainder.
1,2,13,26,157,314,2041,4082
Greatest Common Factor
We found the factors 1774,4082 . The biggest common factor number is the GCF number.
So the greatest common factor 1774,4082 is 2.
Lets's calculate LCM of 91,562
Given numbers has no common factors except 1. So, there LCM is their product i.e 51142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51142
Therefore, the GCF of Fractions 1774/91,4082/562 is 2/51142
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 91,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,562) x common factors =1 x 1 = 1
LCM(91,562) = ( 91 × 562 ) / 1
LCM(91,562) = 51142 / 1
LCM(91,562) = 51142
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 1774/91, 4082/562?
Answer: GCF of Numerators as per given numbers 1774/91, 4082/562 is
GCF of Numerators i.e. for 1774,4082 is 2
LCM of denominators i.e. for 91,562 is 51142.
Thus, GCF of Fractions is 2/51142.Finally, GCF of Fractions for 1774/91, 4082/562 is 2/51142.