GCD of 906, 948, 450, 690 Calculator

Given Input numbers are 906, 948, 450, 690

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 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (906, 948, 450, 690) = 6.

Given numbers are 906, 948, 450, 690

The list of prime factors of all numbers are

Prime factors of 906 are 2 x 3 x 151

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 906, 948, 450, 690 is 6.

Given numbers are 906, 948, 450, 690

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

Apply this formula for all numbers.

Step1:

LCM(906, 948) = 143148

GCD(906, 948) = ( 906 x 948 ) / 143148

= 906 / 948

= 906

Step2:

LCM(6, 450) = 450

GCD(6, 450) = ( 6 x 450 ) / 450

= 6 / 450

= 6

Step3:

LCM(6, 690) = 690

GCD(6, 690) = ( 6 x 690 ) / 690

= 6 / 690

= 6

So, Greatest Common Divisor of 906, 948, 450, 690 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 980, 306, 191, 773
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Given numbers are 906, 948, 450, 690
The greatest common divisor of numbers 906, 948, 450, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 906, 948, 450, 690 is 6.

1. What is the GCD of 906, 948, 450, 690?

GCD of given numbers 906, 948, 450, 690 is 6

2. How to calculate the greatest common divisor of 906, 948, 450, 690?

We can find the highest common divisor of 906, 948, 450, 690 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, 948, 450, 690 i.e 6.

3. How can I use the GCD of 906, 948, 450, 690Calculator?

Out the numbers 906, 948, 450, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.