GCD of 690, 408, 942, 672 Calculator

Given Input numbers are 690, 408, 942, 672

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

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (690, 408, 942, 672) = 6.

Given numbers are 690, 408, 942, 672

The list of prime factors of all numbers are

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

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 942 are 2 x 3 x 157

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 690, 408, 942, 672 is 6.

Given numbers are 690, 408, 942, 672

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

Apply this formula for all numbers.

Step1:

LCM(690, 408) = 46920

GCD(690, 408) = ( 690 x 408 ) / 46920

= 690 / 408

= 690

Step2:

LCM(6, 942) = 942

GCD(6, 942) = ( 6 x 942 ) / 942

= 6 / 942

= 6

Step3:

LCM(6, 672) = 672

GCD(6, 672) = ( 6 x 672 ) / 672

= 6 / 672

= 6

So, Greatest Common Divisor of 690, 408, 942, 672 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 426, 335, 906
• GCD of 578, 882, 500, 425
• GCD of 751, 864, 452, 174
• GCD of 109, 315, 868, 558
• GCD of 745, 613, 532, 611

Given numbers are 690, 408, 942, 672
The greatest common divisor of numbers 690, 408, 942, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 408, 942, 672 is 6.

1. What is the GCD of 690, 408, 942, 672?

GCD of given numbers 690, 408, 942, 672 is 6

2. How to calculate the greatest common divisor of 690, 408, 942, 672?

We can find the highest common divisor of 690, 408, 942, 672 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 690, 408, 942, 672 i.e 6.

3. How can I use the GCD of 690, 408, 942, 672Calculator?

Out the numbers 690, 408, 942, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.