GCD of 357, 972, 147, 821 Calculator

Given Input numbers are 357, 972, 147, 821

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (357, 972, 147, 821) = 1.

Given numbers are 357, 972, 147, 821

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 147 are 3 x 7 x 7

Prime factors of 821 are 821

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 357, 972, 147, 821

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

Apply this formula for all numbers.

Step1:

LCM(357, 972) = 115668

GCD(357, 972) = ( 357 x 972 ) / 115668

= 357 / 972

= 357

Step2:

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

= 3 / 147

= 3

Step3:

LCM(3, 821) = 2463

GCD(3, 821) = ( 3 x 821 ) / 2463

= 3 / 821

= 3

So, Greatest Common Divisor of 357, 972, 147, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 756, 512, 850
• GCD of 368, 811, 747, 889
• GCD of 221, 848, 528, 134
• GCD of 811, 657, 404, 291
• GCD of 915, 879, 348, 210

Given numbers are 357, 972, 147, 821
The greatest common divisor of numbers 357, 972, 147, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 972, 147, 821 is 1.

1. What is the GCD of 357, 972, 147, 821?

GCD of given numbers 357, 972, 147, 821 is 1

2. How to calculate the greatest common divisor of 357, 972, 147, 821?

We can find the highest common divisor of 357, 972, 147, 821 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, 972, 147, 821 i.e 1.

3. How can I use the GCD of 357, 972, 147, 821Calculator?

Out the numbers 357, 972, 147, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.