Online GCD Calculator is useful to find the GCD of 150, 117, 357, 354 quickly. Get the easiest ways to solve the greatest common divisor of 150, 117, 357, 354 i.e 3 in different methods as follows.
Given Input numbers are 150, 117, 357, 354
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
GCD of numbers is the greatest common divisor
So, the GCD (150, 117, 357, 354) = 3.
Given numbers are 150, 117, 357, 354
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 117 are 3 x 3 x 13
Prime factors of 357 are 3 x 7 x 17
Prime factors of 354 are 2 x 3 x 59
The highest common occurrence is 31
Therefore, GCD of 150, 117, 357, 354 is 3.
Given numbers are 150, 117, 357, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 117) = 5850
GCD(150, 117) = ( 150 x 117 ) / 5850
= 150 / 117
= 150
Step2:
LCM(3, 357) = 357
GCD(3, 357) = ( 3 x 357 ) / 357
= 3 / 357
= 3
Step3:
LCM(3, 354) = 354
GCD(3, 354) = ( 3 x 354 ) / 354
= 3 / 354
= 3
So, Greatest Common Divisor of 150, 117, 357, 354 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 117, 357, 354
The greatest common divisor of numbers 150, 117, 357, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 117, 357, 354 is 3.
1. What is the GCD of 150, 117, 357, 354?
GCD of given numbers 150, 117, 357, 354 is 3
2. How to calculate the greatest common divisor of 150, 117, 357, 354?
We can find the highest common divisor of 150, 117, 357, 354 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 150, 117, 357, 354 i.e 3.
3. How can I use the GCD of 150, 117, 357, 354Calculator?
Out the numbers 150, 117, 357, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.