GCD of 742, 502, 861, 360 Calculator

Given Input numbers are 742, 502, 861, 360

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

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

GCD of numbers is the greatest common divisor

So, the GCD (742, 502, 861, 360) = 1.

Given numbers are 742, 502, 861, 360

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 502 are 2 x 251

Prime factors of 861 are 3 x 7 x 41

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

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

Given numbers are 742, 502, 861, 360

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

Apply this formula for all numbers.

Step1:

LCM(742, 502) = 186242

GCD(742, 502) = ( 742 x 502 ) / 186242

= 742 / 502

= 742

Step2:

LCM(2, 861) = 1722

GCD(2, 861) = ( 2 x 861 ) / 1722

= 2 / 861

= 2

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 742, 502, 861, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 834, 353, 272
• GCD of 562, 481, 362, 424
• GCD of 970, 477, 354, 257
• GCD of 302, 677, 309, 718
• GCD of 616, 523, 765, 158

Given numbers are 742, 502, 861, 360
The greatest common divisor of numbers 742, 502, 861, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 502, 861, 360 is 1.

1. What is the GCD of 742, 502, 861, 360?

GCD of given numbers 742, 502, 861, 360 is 1

2. How to calculate the greatest common divisor of 742, 502, 861, 360?

We can find the highest common divisor of 742, 502, 861, 360 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 742, 502, 861, 360 i.e 1.

3. How can I use the GCD of 742, 502, 861, 360Calculator?

Out the numbers 742, 502, 861, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.