GCD of 920, 735, 705, 372 Calculator

Given Input numbers are 920, 735, 705, 372

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

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

GCD of numbers is the greatest common divisor

So, the GCD (920, 735, 705, 372) = 1.

Given numbers are 920, 735, 705, 372

The list of prime factors of all numbers are

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

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 705 are 3 x 5 x 47

Prime factors of 372 are 2 x 2 x 3 x 31

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

Given numbers are 920, 735, 705, 372

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

Apply this formula for all numbers.

Step1:

LCM(920, 735) = 135240

GCD(920, 735) = ( 920 x 735 ) / 135240

= 920 / 735

= 920

Step2:

LCM(5, 705) = 705

GCD(5, 705) = ( 5 x 705 ) / 705

= 5 / 705

= 5

Step3:

LCM(5, 372) = 1860

GCD(5, 372) = ( 5 x 372 ) / 1860

= 5 / 372

= 5

So, Greatest Common Divisor of 920, 735, 705, 372 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 388, 141, 542
• GCD of 401, 204, 169, 466
• GCD of 179, 355, 761, 196
• GCD of 311, 441, 403, 772
• GCD of 605, 984, 114, 988

Given numbers are 920, 735, 705, 372
The greatest common divisor of numbers 920, 735, 705, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 735, 705, 372 is 1.

1. What is the GCD of 920, 735, 705, 372?

GCD of given numbers 920, 735, 705, 372 is 1

2. How to calculate the greatest common divisor of 920, 735, 705, 372?

We can find the highest common divisor of 920, 735, 705, 372 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 920, 735, 705, 372 i.e 1.

3. How can I use the GCD of 920, 735, 705, 372Calculator?

Out the numbers 920, 735, 705, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.