GCD of 906, 564, 945, 348 Calculator

Given Input numbers are 906, 564, 945, 348

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

Divisors of 906 :

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

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (906, 564, 945, 348) = 3.

Given numbers are 906, 564, 945, 348

The list of prime factors of all numbers are

Prime factors of 906 are 2 x 3 x 151

Prime factors of 564 are 2 x 2 x 3 x 47

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

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 906, 564, 945, 348 is 3.

Given numbers are 906, 564, 945, 348

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

Apply this formula for all numbers.

Step1:

LCM(906, 564) = 85164

GCD(906, 564) = ( 906 x 564 ) / 85164

= 906 / 564

= 906

Step2:

LCM(6, 945) = 1890

GCD(6, 945) = ( 6 x 945 ) / 1890

= 6 / 945

= 6

Step3:

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

= 3 / 348

= 3

So, Greatest Common Divisor of 906, 564, 945, 348 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 879, 914, 907
• GCD of 252, 753, 289, 858
• GCD of 758, 204, 836, 685
• GCD of 329, 530, 823, 803
• GCD of 939, 788, 217, 745

Given numbers are 906, 564, 945, 348
The greatest common divisor of numbers 906, 564, 945, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 906, 564, 945, 348 is 3.

1. What is the GCD of 906, 564, 945, 348?

GCD of given numbers 906, 564, 945, 348 is 3

2. How to calculate the greatest common divisor of 906, 564, 945, 348?

We can find the highest common divisor of 906, 564, 945, 348 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 906, 564, 945, 348 i.e 3.

3. How can I use the GCD of 906, 564, 945, 348Calculator?

Out the numbers 906, 564, 945, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.