GCD of 495, 477, 42, 357 Calculator

Given Input numbers are 495, 477, 42, 357

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 357 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (495, 477, 42, 357) = 3.

Given numbers are 495, 477, 42, 357

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 477 are 3 x 3 x 53

Prime factors of 42 are 2 x 3 x 7

Prime factors of 357 are 3 x 7 x 17

The highest common occurrence is 3¹

Therefore, GCD of 495, 477, 42, 357 is 3.

Given numbers are 495, 477, 42, 357

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

Apply this formula for all numbers.

Step1:

LCM(495, 477) = 26235

GCD(495, 477) = ( 495 x 477 ) / 26235

= 495 / 477

= 495

Step2:

LCM(9, 42) = 126

GCD(9, 42) = ( 9 x 42 ) / 126

= 9 / 42

= 9

Step3:

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

= 3 / 357

= 3

So, Greatest Common Divisor of 495, 477, 42, 357 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 705, 73, 776
• GCD of 365, 512, 19, 898
• GCD of 137, 320, 95, 812
• GCD of 990, 944, 63, 153
• GCD of 270, 710, 36, 158

Given numbers are 495, 477, 42, 357
The greatest common divisor of numbers 495, 477, 42, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 477, 42, 357 is 3.

1. What is the GCD of 495, 477, 42, 357?

GCD of given numbers 495, 477, 42, 357 is 3

2. How to calculate the greatest common divisor of 495, 477, 42, 357?

We can find the highest common divisor of 495, 477, 42, 357 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 495, 477, 42, 357 i.e 3.

3. How can I use the GCD of 495, 477, 42, 357Calculator?

Out the numbers 495, 477, 42, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.