GCD of 721, 180, 480, 974 Calculator

Given Input numbers are 721, 180, 480, 974

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

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 974 :

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

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (721, 180, 480, 974) = 1.

Given numbers are 721, 180, 480, 974

The list of prime factors of all numbers are

Prime factors of 721 are 7 x 103

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 974 are 2 x 487

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

Given numbers are 721, 180, 480, 974

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

Apply this formula for all numbers.

Step1:

LCM(721, 180) = 129780

GCD(721, 180) = ( 721 x 180 ) / 129780

= 721 / 180

= 721

Step2:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

Step3:

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

= 1 / 974

= 1

So, Greatest Common Divisor of 721, 180, 480, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 269, 829, 825
• GCD of 233, 474, 478, 143
• GCD of 471, 196, 591, 807
• GCD of 623, 402, 680, 588
• GCD of 199, 482, 320, 701

Given numbers are 721, 180, 480, 974
The greatest common divisor of numbers 721, 180, 480, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 180, 480, 974 is 1.

1. What is the GCD of 721, 180, 480, 974?

GCD of given numbers 721, 180, 480, 974 is 1

2. How to calculate the greatest common divisor of 721, 180, 480, 974?

We can find the highest common divisor of 721, 180, 480, 974 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 721, 180, 480, 974 i.e 1.

3. How can I use the GCD of 721, 180, 480, 974Calculator?

Out the numbers 721, 180, 480, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.