GCD of 140, 360, 397, 225 Calculator

Given Input numbers are 140, 360, 397, 225

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (140, 360, 397, 225) = 1.

Given numbers are 140, 360, 397, 225

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 397 are 397

Prime factors of 225 are 3 x 3 x 5 x 5

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

Given numbers are 140, 360, 397, 225

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

Apply this formula for all numbers.

Step1:

LCM(140, 360) = 2520

GCD(140, 360) = ( 140 x 360 ) / 2520

= 140 / 360

= 140

Step2:

LCM(20, 397) = 7940

GCD(20, 397) = ( 20 x 397 ) / 7940

= 20 / 397

= 20

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 140, 360, 397, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 190, 161, 287
• GCD of 385, 348, 461, 808
• GCD of 892, 652, 924, 566
• GCD of 499, 316, 358, 672
• GCD of 224, 698, 457, 410

Given numbers are 140, 360, 397, 225
The greatest common divisor of numbers 140, 360, 397, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 360, 397, 225 is 1.

1. What is the GCD of 140, 360, 397, 225?

GCD of given numbers 140, 360, 397, 225 is 1

2. How to calculate the greatest common divisor of 140, 360, 397, 225?

We can find the highest common divisor of 140, 360, 397, 225 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 140, 360, 397, 225 i.e 1.

3. How can I use the GCD of 140, 360, 397, 225Calculator?

Out the numbers 140, 360, 397, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.