Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 973/88,323/32,662/545
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 973,323,662
Greatest Common Factor of Numerators i.e. GCF of 973,323,662 is 1 .
LCM of Denominators means LCM of 88,32,545 as per the given fractions.
LCM of 88,32,545 is 191840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 973,323,662
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Greatest Common Factor
We found the factors 973,323,662 . The biggest common factor number is the GCF number.
So the greatest common factor 973,323,662 is 1.
Lets's calculate LCM of 88,32,545
2 | 88, 32, 545 |
2 | 44, 16, 545 |
2 | 22, 8, 545 |
11, 4, 545 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 4 x 545 = 191840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191840
Therefore, the GCF of Fractions 973/88,323/32,662/545 is 1/191840
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 88,32,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,32,545) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(88,32,545) x common factors =1 x 8 = 8
LCM(88,32,545) = ( 88 × 32 × 545 ) / 8
LCM(88,32,545) = 1534720 / 8
LCM(88,32,545) = 191840
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 973/88, 323/32, 662/545?
Answer: GCF of Numerators as per given numbers 973/88, 323/32, 662/545 is
GCF of Numerators i.e. for 973,323,662 is 1
LCM of denominators i.e. for 88,32,545 is 191840.
Thus, GCF of Fractions is 1/191840.Finally, GCF of Fractions for 973/88, 323/32, 662/545 is 1/191840.