Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 427/975,315/621,134/392
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 427,315,134
Greatest Common Factor of Numerators i.e. GCF of 427,315,134 is 1 .
LCM of Denominators means LCM of 975,621,392 as per the given fractions.
LCM of 975,621,392 is 79115400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 427,315,134
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 427,315,134 . The biggest common factor number is the GCF number.
So the greatest common factor 427,315,134 is 1.
Lets's calculate LCM of 975,621,392
3 | 975, 621, 392 |
325, 207, 392 |
∴ So the LCM of the given numbers is 3 x 325 x 207 x 392 = 79115400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79115400
Therefore, the GCF of Fractions 427/975,315/621,134/392 is 1/79115400
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 975,621,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,621,392) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(975,621,392) x common factors =1 x 3 = 3
LCM(975,621,392) = ( 975 × 621 × 392 ) / 3
LCM(975,621,392) = 237346200 / 3
LCM(975,621,392) = 79115400
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 427/975, 315/621, 134/392?
Answer: GCF of Numerators as per given numbers 427/975, 315/621, 134/392 is
GCF of Numerators i.e. for 427,315,134 is 1
LCM of denominators i.e. for 975,621,392 is 79115400.
Thus, GCF of Fractions is 1/79115400.Finally, GCF of Fractions for 427/975, 315/621, 134/392 is 1/79115400.