Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 155/63,795/85,369/274
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 155,795,369
Greatest Common Factor of Numerators i.e. GCF of 155,795,369 is 1 .
LCM of Denominators means LCM of 63,85,274 as per the given fractions.
LCM of 63,85,274 is 1467270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 155,795,369
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Greatest Common Factor
We found the factors 155,795,369 . The biggest common factor number is the GCF number.
So the greatest common factor 155,795,369 is 1.
Lets's calculate LCM of 63,85,274
Given numbers has no common factors except 1. So, there LCM is their product i.e 1467270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1467270
Therefore, the GCF of Fractions 155/63,795/85,369/274 is 1/1467270
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 63,85,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,85,274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,85,274) x common factors =1 x 1 = 1
LCM(63,85,274) = ( 63 × 85 × 274 ) / 1
LCM(63,85,274) = 1467270 / 1
LCM(63,85,274) = 1467270
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 155/63, 795/85, 369/274?
Answer: GCF of Numerators as per given numbers 155/63, 795/85, 369/274 is
GCF of Numerators i.e. for 155,795,369 is 1
LCM of denominators i.e. for 63,85,274 is 1467270.
Thus, GCF of Fractions is 1/1467270.Finally, GCF of Fractions for 155/63, 795/85, 369/274 is 1/1467270.