GCD of 360, 142, 892, 157 Calculator

Given Input numbers are 360, 142, 892, 157

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

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 157 :

The positive integer divisors of 157 that completely divides 157 are.

1, 157

GCD of numbers is the greatest common divisor

So, the GCD (360, 142, 892, 157) = 1.

Given numbers are 360, 142, 892, 157

The list of prime factors of all numbers are

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

Prime factors of 142 are 2 x 71

Prime factors of 892 are 2 x 2 x 223

Prime factors of 157 are 157

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

Given numbers are 360, 142, 892, 157

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

Apply this formula for all numbers.

Step1:

LCM(360, 142) = 25560

GCD(360, 142) = ( 360 x 142 ) / 25560

= 360 / 142

= 360

Step2:

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

= 2 / 892

= 2

Step3:

LCM(2, 157) = 314

GCD(2, 157) = ( 2 x 157 ) / 314

= 2 / 157

= 2

So, Greatest Common Divisor of 360, 142, 892, 157 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 551, 736, 509
• GCD of 333, 714, 544, 281
• GCD of 246, 596, 615, 950
• GCD of 480, 999, 795, 411
• GCD of 973, 883, 250, 318

Given numbers are 360, 142, 892, 157
The greatest common divisor of numbers 360, 142, 892, 157 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 142, 892, 157 is 1.

1. What is the GCD of 360, 142, 892, 157?

GCD of given numbers 360, 142, 892, 157 is 1

2. How to calculate the greatest common divisor of 360, 142, 892, 157?

We can find the highest common divisor of 360, 142, 892, 157 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 360, 142, 892, 157 i.e 1.

3. How can I use the GCD of 360, 142, 892, 157Calculator?

Out the numbers 360, 142, 892, 157 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.