GCD of 742, 788, 906, 762 Calculator

Given Input numbers are 742, 788, 906, 762

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 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

GCD of numbers is the greatest common divisor

So, the GCD (742, 788, 906, 762) = 2.

Given numbers are 742, 788, 906, 762

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 788 are 2 x 2 x 197

Prime factors of 906 are 2 x 3 x 151

Prime factors of 762 are 2 x 3 x 127

The highest common occurrence is 2¹

Therefore, GCD of 742, 788, 906, 762 is 2.

Given numbers are 742, 788, 906, 762

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

Apply this formula for all numbers.

Step1:

LCM(742, 788) = 292348

GCD(742, 788) = ( 742 x 788 ) / 292348

= 742 / 788

= 742

Step2:

LCM(2, 906) = 906

GCD(2, 906) = ( 2 x 906 ) / 906

= 2 / 906

= 2

Step3:

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

= 2 / 762

= 2

So, Greatest Common Divisor of 742, 788, 906, 762 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 764, 637, 951
• GCD of 333, 735, 284, 758
• GCD of 132, 205, 283, 401
• GCD of 325, 343, 455, 470
• GCD of 566, 719, 391, 515

Given numbers are 742, 788, 906, 762
The greatest common divisor of numbers 742, 788, 906, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 788, 906, 762 is 2.

1. What is the GCD of 742, 788, 906, 762?

GCD of given numbers 742, 788, 906, 762 is 2

2. How to calculate the greatest common divisor of 742, 788, 906, 762?

We can find the highest common divisor of 742, 788, 906, 762 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, 788, 906, 762 i.e 2.

3. How can I use the GCD of 742, 788, 906, 762Calculator?

Out the numbers 742, 788, 906, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.