Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3651/62,1777/138
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 3651,1777
Greatest Common Factor of Numerators i.e. GCF of 3651,1777 is 1 .
LCM of Denominators means LCM of 62,138 as per the given fractions.
LCM of 62,138 is 4278 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3651,1777
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3651
List of positive integer factors of 3651 that divides 3651 without a remainder.
1,3,1217,3651
Factors of 1777
List of positive integer factors of 1777 that divides 1777 without a remainder.
1,1777
Greatest Common Factor
We found the factors 3651,1777 . The biggest common factor number is the GCF number.
So the greatest common factor 3651,1777 is 1.
Lets's calculate LCM of 62,138
2 | 62, 138 |
31, 69 |
∴ So the LCM of the given numbers is 2 x 31 x 69 = 4278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4278
Therefore, the GCF of Fractions 3651/62,1777/138 is 1/4278
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 62,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,138) x common factors =2 x 1 = 2
LCM(62,138) = ( 62 × 138 ) / 2
LCM(62,138) = 8556 / 2
LCM(62,138) = 4278
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 3651/62, 1777/138?
Answer: GCF of Numerators as per given numbers 3651/62, 1777/138 is
GCF of Numerators i.e. for 3651,1777 is 1
LCM of denominators i.e. for 62,138 is 4278.
Thus, GCF of Fractions is 1/4278.Finally, GCF of Fractions for 3651/62, 1777/138 is 1/4278.