Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 951/541,327/630,542/203
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 951,327,542
Greatest Common Factor of Numerators i.e. GCF of 951,327,542 is 1 .
LCM of Denominators means LCM of 541,630,203 as per the given fractions.
LCM of 541,630,203 is 9884070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 951,327,542
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Greatest Common Factor
We found the factors 951,327,542 . The biggest common factor number is the GCF number.
So the greatest common factor 951,327,542 is 1.
Lets's calculate LCM of 541,630,203
7 | 541, 630, 203 |
541, 90, 29 |
∴ So the LCM of the given numbers is 7 x 541 x 90 x 29 = 9884070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9884070
Therefore, the GCF of Fractions 951/541,327/630,542/203 is 1/9884070
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 541,630,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,630,203) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(541,630,203) x common factors =1 x 7 = 7
LCM(541,630,203) = ( 541 × 630 × 203 ) / 7
LCM(541,630,203) = 69188490 / 7
LCM(541,630,203) = 9884070
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 951/541, 327/630, 542/203?
Answer: GCF of Numerators as per given numbers 951/541, 327/630, 542/203 is
GCF of Numerators i.e. for 951,327,542 is 1
LCM of denominators i.e. for 541,630,203 is 9884070.
Thus, GCF of Fractions is 1/9884070.Finally, GCF of Fractions for 951/541, 327/630, 542/203 is 1/9884070.