GCD of 742, 654, 967, 812 Calculator

Given Input numbers are 742, 654, 967, 812

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

GCD of numbers is the greatest common divisor

So, the GCD (742, 654, 967, 812) = 1.

Given numbers are 742, 654, 967, 812

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 654 are 2 x 3 x 109

Prime factors of 967 are 967

Prime factors of 812 are 2 x 2 x 7 x 29

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

Given numbers are 742, 654, 967, 812

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

Apply this formula for all numbers.

Step1:

LCM(742, 654) = 242634

GCD(742, 654) = ( 742 x 654 ) / 242634

= 742 / 654

= 742

Step2:

LCM(2, 967) = 1934

GCD(2, 967) = ( 2 x 967 ) / 1934

= 2 / 967

= 2

Step3:

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

= 1 / 812

= 1

So, Greatest Common Divisor of 742, 654, 967, 812 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 981, 682, 491
• GCD of 324, 179, 329, 101
• GCD of 590, 744, 757, 446
• GCD of 288, 843, 445, 481
• GCD of 471, 691, 412, 132

Given numbers are 742, 654, 967, 812
The greatest common divisor of numbers 742, 654, 967, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 654, 967, 812 is 1.

1. What is the GCD of 742, 654, 967, 812?

GCD of given numbers 742, 654, 967, 812 is 1

2. How to calculate the greatest common divisor of 742, 654, 967, 812?

We can find the highest common divisor of 742, 654, 967, 812 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 742, 654, 967, 812 i.e 1.

3. How can I use the GCD of 742, 654, 967, 812Calculator?

Out the numbers 742, 654, 967, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.