GCD of 672, 301, 318, 974 Calculator

Given Input numbers are 672, 301, 318, 974

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 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (672, 301, 318, 974) = 1.

Given numbers are 672, 301, 318, 974

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 301 are 7 x 43

Prime factors of 318 are 2 x 3 x 53

Prime factors of 974 are 2 x 487

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

Given numbers are 672, 301, 318, 974

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

Apply this formula for all numbers.

Step1:

LCM(672, 301) = 28896

GCD(672, 301) = ( 672 x 301 ) / 28896

= 672 / 301

= 672

Step2:

LCM(7, 318) = 2226

GCD(7, 318) = ( 7 x 318 ) / 2226

= 7 / 318

= 7

Step3:

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

= 1 / 974

= 1

So, Greatest Common Divisor of 672, 301, 318, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 609, 716, 246
• GCD of 996, 971, 323, 583
• GCD of 772, 154, 875, 994
• GCD of 617, 396, 541, 771
• GCD of 946, 146, 595, 748

Given numbers are 672, 301, 318, 974
The greatest common divisor of numbers 672, 301, 318, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 301, 318, 974 is 1.

1. What is the GCD of 672, 301, 318, 974?

GCD of given numbers 672, 301, 318, 974 is 1

2. How to calculate the greatest common divisor of 672, 301, 318, 974?

We can find the highest common divisor of 672, 301, 318, 974 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, 301, 318, 974 i.e 1.

3. How can I use the GCD of 672, 301, 318, 974Calculator?

Out the numbers 672, 301, 318, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.