GCD of 971, 420, 648, 629 Calculator

Given Input numbers are 971, 420, 648, 629

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

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

GCD of numbers is the greatest common divisor

So, the GCD (971, 420, 648, 629) = 1.

Given numbers are 971, 420, 648, 629

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 629 are 17 x 37

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

Given numbers are 971, 420, 648, 629

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

Apply this formula for all numbers.

Step1:

LCM(971, 420) = 407820

GCD(971, 420) = ( 971 x 420 ) / 407820

= 971 / 420

= 971

Step2:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1

Step3:

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

= 1 / 629

= 1

So, Greatest Common Divisor of 971, 420, 648, 629 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 151, 774, 643
• GCD of 124, 159, 682, 915
• GCD of 417, 504, 786, 944
• GCD of 556, 617, 449, 209
• GCD of 671, 399, 195, 526

Given numbers are 971, 420, 648, 629
The greatest common divisor of numbers 971, 420, 648, 629 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 420, 648, 629 is 1.

1. What is the GCD of 971, 420, 648, 629?

GCD of given numbers 971, 420, 648, 629 is 1

2. How to calculate the greatest common divisor of 971, 420, 648, 629?

We can find the highest common divisor of 971, 420, 648, 629 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 971, 420, 648, 629 i.e 1.

3. How can I use the GCD of 971, 420, 648, 629Calculator?

Out the numbers 971, 420, 648, 629 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.