Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 143/430,222/222,862/431
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 143,222,862
Greatest Common Factor of Numerators i.e. GCF of 143,222,862 is 1 .
LCM of Denominators means LCM of 430,222,431 as per the given fractions.
LCM of 430,222,431 is 20571630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 143,222,862
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Greatest Common Factor
We found the factors 143,222,862 . The biggest common factor number is the GCF number.
So the greatest common factor 143,222,862 is 1.
Lets's calculate LCM of 430,222,431
2 | 430, 222, 431 |
215, 111, 431 |
∴ So the LCM of the given numbers is 2 x 215 x 111 x 431 = 20571630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20571630
Therefore, the GCF of Fractions 143/430,222/222,862/431 is 1/20571630
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 430,222,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,222,431) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(430,222,431) x common factors =1 x 2 = 2
LCM(430,222,431) = ( 430 × 222 × 431 ) / 2
LCM(430,222,431) = 41143260 / 2
LCM(430,222,431) = 20571630
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 143/430, 222/222, 862/431?
Answer: GCF of Numerators as per given numbers 143/430, 222/222, 862/431 is
GCF of Numerators i.e. for 143,222,862 is 1
LCM of denominators i.e. for 430,222,431 is 20571630.
Thus, GCF of Fractions is 1/20571630.Finally, GCF of Fractions for 143/430, 222/222, 862/431 is 1/20571630.