GCD of 357, 162, 471, 762 Calculator

Given Input numbers are 357, 162, 471, 762

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

GCD of numbers is the greatest common divisor

So, the GCD (357, 162, 471, 762) = 3.

Given numbers are 357, 162, 471, 762

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 471 are 3 x 157

Prime factors of 762 are 2 x 3 x 127

The highest common occurrence is 3¹

Therefore, GCD of 357, 162, 471, 762 is 3.

Given numbers are 357, 162, 471, 762

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

Apply this formula for all numbers.

Step1:

LCM(357, 162) = 19278

GCD(357, 162) = ( 357 x 162 ) / 19278

= 357 / 162

= 357

Step2:

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

= 3 / 471

= 3

Step3:

LCM(3, 762) = 762

GCD(3, 762) = ( 3 x 762 ) / 762

= 3 / 762

= 3

So, Greatest Common Divisor of 357, 162, 471, 762 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 675, 564, 400
• GCD of 899, 934, 624, 502
• GCD of 110, 890, 278, 392
• GCD of 867, 359, 765, 728
• GCD of 204, 318, 329, 420

Given numbers are 357, 162, 471, 762
The greatest common divisor of numbers 357, 162, 471, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 162, 471, 762 is 3.

1. What is the GCD of 357, 162, 471, 762?

GCD of given numbers 357, 162, 471, 762 is 3

2. How to calculate the greatest common divisor of 357, 162, 471, 762?

We can find the highest common divisor of 357, 162, 471, 762 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 357, 162, 471, 762 i.e 3.

3. How can I use the GCD of 357, 162, 471, 762Calculator?

Out the numbers 357, 162, 471, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.