GCD of 745, 945, 920, 308 Calculator

Given Input numbers are 745, 945, 920, 308

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

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (745, 945, 920, 308) = 1.

Given numbers are 745, 945, 920, 308

The list of prime factors of all numbers are

Prime factors of 745 are 5 x 149

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 308 are 2 x 2 x 7 x 11

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

Given numbers are 745, 945, 920, 308

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

Apply this formula for all numbers.

Step1:

LCM(745, 945) = 140805

GCD(745, 945) = ( 745 x 945 ) / 140805

= 745 / 945

= 745

Step2:

LCM(5, 920) = 920

GCD(5, 920) = ( 5 x 920 ) / 920

= 5 / 920

= 5

Step3:

LCM(5, 308) = 1540

GCD(5, 308) = ( 5 x 308 ) / 1540

= 5 / 308

= 5

So, Greatest Common Divisor of 745, 945, 920, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 650, 683, 792
• GCD of 656, 442, 796, 925
• GCD of 495, 260, 430, 771
• GCD of 501, 155, 557, 215
• GCD of 207, 636, 534, 554

Given numbers are 745, 945, 920, 308
The greatest common divisor of numbers 745, 945, 920, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 745, 945, 920, 308 is 1.

1. What is the GCD of 745, 945, 920, 308?

GCD of given numbers 745, 945, 920, 308 is 1

2. How to calculate the greatest common divisor of 745, 945, 920, 308?

We can find the highest common divisor of 745, 945, 920, 308 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 745, 945, 920, 308 i.e 1.

3. How can I use the GCD of 745, 945, 920, 308Calculator?

Out the numbers 745, 945, 920, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.