Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 457/64,579/29,980/84
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 457,579,980
Greatest Common Factor of Numerators i.e. GCF of 457,579,980 is 1 .
LCM of Denominators means LCM of 64,29,84 as per the given fractions.
LCM of 64,29,84 is 38976 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 457,579,980
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 457,579,980 . The biggest common factor number is the GCF number.
So the greatest common factor 457,579,980 is 1.
Lets's calculate LCM of 64,29,84
2 | 64, 29, 84 |
2 | 32, 29, 42 |
16, 29, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 29 x 21 = 38976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38976
Therefore, the GCF of Fractions 457/64,579/29,980/84 is 1/38976
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 64,29,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,29,84) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(64,29,84) x common factors =1 x 4 = 4
LCM(64,29,84) = ( 64 × 29 × 84 ) / 4
LCM(64,29,84) = 155904 / 4
LCM(64,29,84) = 38976
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 457/64, 579/29, 980/84?
Answer: GCF of Numerators as per given numbers 457/64, 579/29, 980/84 is
GCF of Numerators i.e. for 457,579,980 is 1
LCM of denominators i.e. for 64,29,84 is 38976.
Thus, GCF of Fractions is 1/38976.Finally, GCF of Fractions for 457/64, 579/29, 980/84 is 1/38976.