GCD of 672, 434, 309, 420 Calculator

Given Input numbers are 672, 434, 309, 420

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

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

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (672, 434, 309, 420) = 1.

Given numbers are 672, 434, 309, 420

The list of prime factors of all numbers are

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

Prime factors of 434 are 2 x 7 x 31

Prime factors of 309 are 3 x 103

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 672, 434, 309, 420

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

Apply this formula for all numbers.

Step1:

LCM(672, 434) = 20832

GCD(672, 434) = ( 672 x 434 ) / 20832

= 672 / 434

= 672

Step2:

LCM(14, 309) = 4326

GCD(14, 309) = ( 14 x 309 ) / 4326

= 14 / 309

= 14

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 672, 434, 309, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 615, 138, 229
• GCD of 888, 299, 892, 766
• GCD of 129, 954, 269, 625
• GCD of 882, 397, 378, 654
• GCD of 394, 737, 387, 137

Given numbers are 672, 434, 309, 420
The greatest common divisor of numbers 672, 434, 309, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 434, 309, 420 is 1.

1. What is the GCD of 672, 434, 309, 420?

GCD of given numbers 672, 434, 309, 420 is 1

2. How to calculate the greatest common divisor of 672, 434, 309, 420?

We can find the highest common divisor of 672, 434, 309, 420 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 672, 434, 309, 420 i.e 1.

3. How can I use the GCD of 672, 434, 309, 420Calculator?

Out the numbers 672, 434, 309, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.