Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 161/89,518/63,207/374
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 161,518,207
Greatest Common Factor of Numerators i.e. GCF of 161,518,207 is 1 .
LCM of Denominators means LCM of 89,63,374 as per the given fractions.
LCM of 89,63,374 is 2097018 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 161,518,207
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Greatest Common Factor
We found the factors 161,518,207 . The biggest common factor number is the GCF number.
So the greatest common factor 161,518,207 is 1.
Lets's calculate LCM of 89,63,374
Given numbers has no common factors except 1. So, there LCM is their product i.e 2097018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2097018
Therefore, the GCF of Fractions 161/89,518/63,207/374 is 1/2097018
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 89,63,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,63,374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,63,374) x common factors =1 x 1 = 1
LCM(89,63,374) = ( 89 × 63 × 374 ) / 1
LCM(89,63,374) = 2097018 / 1
LCM(89,63,374) = 2097018
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 161/89, 518/63, 207/374?
Answer: GCF of Numerators as per given numbers 161/89, 518/63, 207/374 is
GCF of Numerators i.e. for 161,518,207 is 1
LCM of denominators i.e. for 89,63,374 is 2097018.
Thus, GCF of Fractions is 1/2097018.Finally, GCF of Fractions for 161/89, 518/63, 207/374 is 1/2097018.