GCD of 974, 996, 737, 360 Calculator

Given Input numbers are 974, 996, 737, 360

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

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

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 (974, 996, 737, 360) = 1.

Given numbers are 974, 996, 737, 360

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 737 are 11 x 67

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 974, 996, 737, 360

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

Apply this formula for all numbers.

Step1:

LCM(974, 996) = 485052

GCD(974, 996) = ( 974 x 996 ) / 485052

= 974 / 996

= 974

Step2:

LCM(2, 737) = 1474

GCD(2, 737) = ( 2 x 737 ) / 1474

= 2 / 737

= 2

Step3:

LCM(1, 360) = 360

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

= 1 / 360

= 1

So, Greatest Common Divisor of 974, 996, 737, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 285, 288, 658
• GCD of 521, 168, 990, 501
• GCD of 976, 426, 850, 888
• GCD of 987, 211, 619, 301
• GCD of 836, 366, 932, 467

Given numbers are 974, 996, 737, 360
The greatest common divisor of numbers 974, 996, 737, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 996, 737, 360 is 1.

1. What is the GCD of 974, 996, 737, 360?

GCD of given numbers 974, 996, 737, 360 is 1

2. How to calculate the greatest common divisor of 974, 996, 737, 360?

We can find the highest common divisor of 974, 996, 737, 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 974, 996, 737, 360 i.e 1.

3. How can I use the GCD of 974, 996, 737, 360Calculator?

Out the numbers 974, 996, 737, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.