GCD of 945, 768, 742, 379 Calculator

Given Input numbers are 945, 768, 742, 379

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 742 :

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

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

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

GCD of numbers is the greatest common divisor

So, the GCD (945, 768, 742, 379) = 1.

Given numbers are 945, 768, 742, 379

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 742 are 2 x 7 x 53

Prime factors of 379 are 379

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

Given numbers are 945, 768, 742, 379

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

Apply this formula for all numbers.

Step1:

LCM(945, 768) = 241920

GCD(945, 768) = ( 945 x 768 ) / 241920

= 945 / 768

= 945

Step2:

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

= 3 / 742

= 3

Step3:

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

= 1 / 379

= 1

So, Greatest Common Divisor of 945, 768, 742, 379 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 826, 692, 106
• GCD of 409, 730, 205, 424
• GCD of 132, 248, 297, 921
• GCD of 594, 475, 557, 865
• GCD of 772, 203, 835, 693

Given numbers are 945, 768, 742, 379
The greatest common divisor of numbers 945, 768, 742, 379 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 768, 742, 379 is 1.

1. What is the GCD of 945, 768, 742, 379?

GCD of given numbers 945, 768, 742, 379 is 1

2. How to calculate the greatest common divisor of 945, 768, 742, 379?

We can find the highest common divisor of 945, 768, 742, 379 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 945, 768, 742, 379 i.e 1.

3. How can I use the GCD of 945, 768, 742, 379Calculator?

Out the numbers 945, 768, 742, 379 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.