Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 144/357,6305/522
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 144,6305
Greatest Common Factor of Numerators i.e. GCF of 144,6305 is 1 .
LCM of Denominators means LCM of 357,522 as per the given fractions.
LCM of 357,522 is 62118 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 144,6305
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Factors of 6305
List of positive integer factors of 6305 that divides 6305 without a remainder.
1,5,13,65,97,485,1261,6305
Greatest Common Factor
We found the factors 144,6305 . The biggest common factor number is the GCF number.
So the greatest common factor 144,6305 is 1.
Lets's calculate LCM of 357,522
3 | 357, 522 |
119, 174 |
∴ So the LCM of the given numbers is 3 x 119 x 174 = 62118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62118
Therefore, the GCF of Fractions 144/357,6305/522 is 1/62118
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 357,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,522) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(357,522) x common factors =3 x 1 = 3
LCM(357,522) = ( 357 × 522 ) / 3
LCM(357,522) = 186354 / 3
LCM(357,522) = 62118
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 144/357, 6305/522?
Answer: GCF of Numerators as per given numbers 144/357, 6305/522 is
GCF of Numerators i.e. for 144,6305 is 1
LCM of denominators i.e. for 357,522 is 62118.
Thus, GCF of Fractions is 1/62118.Finally, GCF of Fractions for 144/357, 6305/522 is 1/62118.