GCD of 320, 975, 746, 914 Calculator

Given Input numbers are 320, 975, 746, 914

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

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

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 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (320, 975, 746, 914) = 1.

Given numbers are 320, 975, 746, 914

The list of prime factors of all numbers are

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

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

Prime factors of 746 are 2 x 373

Prime factors of 914 are 2 x 457

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

Given numbers are 320, 975, 746, 914

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

Apply this formula for all numbers.

Step1:

LCM(320, 975) = 62400

GCD(320, 975) = ( 320 x 975 ) / 62400

= 320 / 975

= 320

Step2:

LCM(5, 746) = 3730

GCD(5, 746) = ( 5 x 746 ) / 3730

= 5 / 746

= 5

Step3:

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

= 1 / 914

= 1

So, Greatest Common Divisor of 320, 975, 746, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 491, 593, 467
• GCD of 224, 263, 326, 646
• GCD of 229, 944, 954, 864
• GCD of 538, 135, 896, 526
• GCD of 916, 649, 709, 228

Given numbers are 320, 975, 746, 914
The greatest common divisor of numbers 320, 975, 746, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 975, 746, 914 is 1.

1. What is the GCD of 320, 975, 746, 914?

GCD of given numbers 320, 975, 746, 914 is 1

2. How to calculate the greatest common divisor of 320, 975, 746, 914?

We can find the highest common divisor of 320, 975, 746, 914 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 320, 975, 746, 914 i.e 1.

3. How can I use the GCD of 320, 975, 746, 914Calculator?

Out the numbers 320, 975, 746, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.