Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4550/827,1754/155
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 4550,1754
Greatest Common Factor of Numerators i.e. GCF of 4550,1754 is 2 .
LCM of Denominators means LCM of 827,155 as per the given fractions.
LCM of 827,155 is 128185 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4550,1754
2 | 4550, 1754 |
2275, 877 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4550
List of positive integer factors of 4550 that divides 4550 without a remainder.
1,2,5,7,10,13,14,25,26,35,50,65,70,91,130,175,182,325,350,455,650,910,2275,4550
Factors of 1754
List of positive integer factors of 1754 that divides 1754 without a remainder.
1,2,877,1754
Greatest Common Factor
We found the factors 4550,1754 . The biggest common factor number is the GCF number.
So the greatest common factor 4550,1754 is 2.
Lets's calculate LCM of 827,155
Given numbers has no common factors except 1. So, there LCM is their product i.e 128185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/128185
Therefore, the GCF of Fractions 4550/827,1754/155 is 2/128185
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 827,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,155) x common factors =1 x 1 = 1
LCM(827,155) = ( 827 × 155 ) / 1
LCM(827,155) = 128185 / 1
LCM(827,155) = 128185
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 4550/827, 1754/155?
Answer: GCF of Numerators as per given numbers 4550/827, 1754/155 is
GCF of Numerators i.e. for 4550,1754 is 2
LCM of denominators i.e. for 827,155 is 128185.
Thus, GCF of Fractions is 2/128185.Finally, GCF of Fractions for 4550/827, 1754/155 is 2/128185.