GCD of 674, 824, 975, 320 Calculator

Given Input numbers are 674, 824, 975, 320

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (674, 824, 975, 320) = 1.

Given numbers are 674, 824, 975, 320

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 674, 824, 975, 320

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

Apply this formula for all numbers.

Step1:

LCM(674, 824) = 277688

GCD(674, 824) = ( 674 x 824 ) / 277688

= 674 / 824

= 674

Step2:

LCM(2, 975) = 1950

GCD(2, 975) = ( 2 x 975 ) / 1950

= 2 / 975

= 2

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 674, 824, 975, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 542, 654, 218
• GCD of 860, 529, 564, 632
• GCD of 582, 897, 456, 801
• GCD of 885, 221, 715, 462
• GCD of 502, 878, 842, 622

Given numbers are 674, 824, 975, 320
The greatest common divisor of numbers 674, 824, 975, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 824, 975, 320 is 1.

1. What is the GCD of 674, 824, 975, 320?

GCD of given numbers 674, 824, 975, 320 is 1

2. How to calculate the greatest common divisor of 674, 824, 975, 320?

We can find the highest common divisor of 674, 824, 975, 320 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 674, 824, 975, 320 i.e 1.

3. How can I use the GCD of 674, 824, 975, 320Calculator?

Out the numbers 674, 824, 975, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.