Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 321/63,974/28,775/625
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 321,974,775
Greatest Common Factor of Numerators i.e. GCF of 321,974,775 is 1 .
LCM of Denominators means LCM of 63,28,625 as per the given fractions.
LCM of 63,28,625 is 157500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 321,974,775
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Greatest Common Factor
We found the factors 321,974,775 . The biggest common factor number is the GCF number.
So the greatest common factor 321,974,775 is 1.
Lets's calculate LCM of 63,28,625
7 | 63, 28, 625 |
9, 4, 625 |
∴ So the LCM of the given numbers is 7 x 9 x 4 x 625 = 157500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157500
Therefore, the GCF of Fractions 321/63,974/28,775/625 is 1/157500
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 63,28,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,28,625) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(63,28,625) x common factors =1 x 7 = 7
LCM(63,28,625) = ( 63 × 28 × 625 ) / 7
LCM(63,28,625) = 1102500 / 7
LCM(63,28,625) = 157500
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 321/63, 974/28, 775/625?
Answer: GCF of Numerators as per given numbers 321/63, 974/28, 775/625 is
GCF of Numerators i.e. for 321,974,775 is 1
LCM of denominators i.e. for 63,28,625 is 157500.
Thus, GCF of Fractions is 1/157500.Finally, GCF of Fractions for 321/63, 974/28, 775/625 is 1/157500.