GCD of 357, 114, 561, 534 Calculator

Given Input numbers are 357, 114, 561, 534

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 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

GCD of numbers is the greatest common divisor

So, the GCD (357, 114, 561, 534) = 3.

Given numbers are 357, 114, 561, 534

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 114 are 2 x 3 x 19

Prime factors of 561 are 3 x 11 x 17

Prime factors of 534 are 2 x 3 x 89

The highest common occurrence is 3¹

Therefore, GCD of 357, 114, 561, 534 is 3.

Given numbers are 357, 114, 561, 534

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

Apply this formula for all numbers.

Step1:

LCM(357, 114) = 13566

GCD(357, 114) = ( 357 x 114 ) / 13566

= 357 / 114

= 357

Step2:

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

= 3 / 561

= 3

Step3:

LCM(3, 534) = 534

GCD(3, 534) = ( 3 x 534 ) / 534

= 3 / 534

= 3

So, Greatest Common Divisor of 357, 114, 561, 534 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 470, 557, 713
• GCD of 848, 714, 737, 173
• GCD of 128, 519, 657, 434
• GCD of 936, 786, 648, 161
• GCD of 604, 966, 218, 524

Given numbers are 357, 114, 561, 534
The greatest common divisor of numbers 357, 114, 561, 534 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 114, 561, 534 is 3.

1. What is the GCD of 357, 114, 561, 534?

GCD of given numbers 357, 114, 561, 534 is 3

2. How to calculate the greatest common divisor of 357, 114, 561, 534?

We can find the highest common divisor of 357, 114, 561, 534 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, 114, 561, 534 i.e 3.

3. How can I use the GCD of 357, 114, 561, 534Calculator?

Out the numbers 357, 114, 561, 534 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.