GCD of 357, 846, 879, 921 Calculator

Given Input numbers are 357, 846, 879, 921

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 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

GCD of numbers is the greatest common divisor

So, the GCD (357, 846, 879, 921) = 3.

Given numbers are 357, 846, 879, 921

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 879 are 3 x 293

Prime factors of 921 are 3 x 307

The highest common occurrence is 3¹

Therefore, GCD of 357, 846, 879, 921 is 3.

Given numbers are 357, 846, 879, 921

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

Apply this formula for all numbers.

Step1:

LCM(357, 846) = 100674

GCD(357, 846) = ( 357 x 846 ) / 100674

= 357 / 846

= 357

Step2:

LCM(3, 879) = 879

GCD(3, 879) = ( 3 x 879 ) / 879

= 3 / 879

= 3

Step3:

LCM(3, 921) = 921

GCD(3, 921) = ( 3 x 921 ) / 921

= 3 / 921

= 3

So, Greatest Common Divisor of 357, 846, 879, 921 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 586, 384, 619
• GCD of 189, 747, 849, 131
• GCD of 386, 996, 332, 395
• GCD of 648, 704, 347, 883
• GCD of 894, 476, 108, 768

Given numbers are 357, 846, 879, 921
The greatest common divisor of numbers 357, 846, 879, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 846, 879, 921 is 3.

1. What is the GCD of 357, 846, 879, 921?

GCD of given numbers 357, 846, 879, 921 is 3

2. How to calculate the greatest common divisor of 357, 846, 879, 921?

We can find the highest common divisor of 357, 846, 879, 921 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, 846, 879, 921 i.e 3.

3. How can I use the GCD of 357, 846, 879, 921Calculator?

Out the numbers 357, 846, 879, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.