Online GCD Calculator is useful to find the GCD of 133, 553, 294 quickly. Get the easiest ways to solve the greatest common divisor of 133, 553, 294 i.e 7 in different methods as follows.
Given Input numbers are 133, 553, 294
In the factoring method, we have to find the divisors of all numbers
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 553 :
The positive integer divisors of 553 that completely divides 553 are.
1, 7, 79, 553
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
GCD of numbers is the greatest common divisor
So, the GCD (133, 553, 294) = 7.
Given numbers are 133, 553, 294
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 553 are 7 x 79
Prime factors of 294 are 2 x 3 x 7 x 7
The highest common occurrence is 71
Therefore, GCD of 133, 553, 294 is 7.
Given numbers are 133, 553, 294
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 553) = 10507
GCD(133, 553) = ( 133 x 553 ) / 10507
= 133 / 553
= 133
Step2:
LCM(7, 294) = 294
GCD(7, 294) = ( 7 x 294 ) / 294
= 7 / 294
= 7
So, Greatest Common Divisor of 133, 553, 294 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 553, 294
The greatest common divisor of numbers 133, 553, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 553, 294 is 7.
1. What is the GCD of 133, 553, 294?
GCD of given numbers 133, 553, 294 is 7
2. How to calculate the greatest common divisor of 133, 553, 294?
We can find the highest common divisor of 133, 553, 294 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 133, 553, 294 i.e 7.
3. How can I use the GCD of 133, 553, 294Calculator?
Out the numbers 133, 553, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.