GCD of 354, 150, 711, 156 Calculator

Given Input numbers are 354, 150, 711, 156

In the factoring method, we have to find the divisors of all numbers

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

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 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (354, 150, 711, 156) = 3.

Given numbers are 354, 150, 711, 156

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 711 are 3 x 3 x 79

Prime factors of 156 are 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 354, 150, 711, 156 is 3.

Given numbers are 354, 150, 711, 156

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(354, 150) = 8850

GCD(354, 150) = ( 354 x 150 ) / 8850

= 354 / 150

= 354

Step2:

LCM(6, 711) = 1422

GCD(6, 711) = ( 6 x 711 ) / 1422

= 6 / 711

= 6

Step3:

LCM(3, 156) = 156

GCD(3, 156) = ( 3 x 156 ) / 156

= 3 / 156

= 3

So, Greatest Common Divisor of 354, 150, 711, 156 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 655, 187, 898
• GCD of 147, 473, 495, 684
• GCD of 361, 222, 400, 666
• GCD of 822, 905, 257, 361
• GCD of 648, 545, 198, 879

Given numbers are 354, 150, 711, 156
The greatest common divisor of numbers 354, 150, 711, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 150, 711, 156 is 3.

1. What is the GCD of 354, 150, 711, 156?

GCD of given numbers 354, 150, 711, 156 is 3

2. How to calculate the greatest common divisor of 354, 150, 711, 156?

We can find the highest common divisor of 354, 150, 711, 156 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 354, 150, 711, 156 i.e 3.

3. How can I use the GCD of 354, 150, 711, 156Calculator?

Out the numbers 354, 150, 711, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.