Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 177/58,1416/795
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 177,1416
Greatest Common Factor of Numerators i.e. GCF of 177,1416 is 177 .
LCM of Denominators means LCM of 58,795 as per the given fractions.
LCM of 58,795 is 46110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 177,1416
3 | 177, 1416 |
59 | 59, 472 |
1, 8 |
∴ So the GCF of the given numbers is 3 x 59 = 177
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 1416
List of positive integer factors of 1416 that divides 1416 without a remainder.
1,2,3,4,6,8,12,24,59,118,177,236,354,472,708,1416
Greatest Common Factor
We found the factors 177,1416 . The biggest common factor number is the GCF number.
So the greatest common factor 177,1416 is 177.
Lets's calculate LCM of 58,795
Given numbers has no common factors except 1. So, there LCM is their product i.e 46110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 177/46110
Therefore, the GCF of Fractions 177/58,1416/795 is 177/46110
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 58,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,795) x common factors =1 x 1 = 1
LCM(58,795) = ( 58 × 795 ) / 1
LCM(58,795) = 46110 / 1
LCM(58,795) = 46110
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 177/58, 1416/795?
Answer: GCF of Numerators as per given numbers 177/58, 1416/795 is
GCF of Numerators i.e. for 177,1416 is 177
LCM of denominators i.e. for 58,795 is 46110.
Thus, GCF of Fractions is 177/46110.Finally, GCF of Fractions for 177/58, 1416/795 is 177/46110.