GCD of 722, 649, 478, 240 Calculator

Given Input numbers are 722, 649, 478, 240

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (722, 649, 478, 240) = 1.

Given numbers are 722, 649, 478, 240

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 649 are 11 x 59

Prime factors of 478 are 2 x 239

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 722, 649, 478, 240

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

Apply this formula for all numbers.

Step1:

LCM(722, 649) = 468578

GCD(722, 649) = ( 722 x 649 ) / 468578

= 722 / 649

= 722

Step2:

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

= 1 / 478

= 1

Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

So, Greatest Common Divisor of 722, 649, 478, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 551, 801, 525
• GCD of 641, 781, 817, 430
• GCD of 674, 245, 648, 646
• GCD of 361, 528, 738, 314
• GCD of 246, 405, 311, 743

Given numbers are 722, 649, 478, 240
The greatest common divisor of numbers 722, 649, 478, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 649, 478, 240 is 1.

1. What is the GCD of 722, 649, 478, 240?

GCD of given numbers 722, 649, 478, 240 is 1

2. How to calculate the greatest common divisor of 722, 649, 478, 240?

We can find the highest common divisor of 722, 649, 478, 240 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 722, 649, 478, 240 i.e 1.

3. How can I use the GCD of 722, 649, 478, 240Calculator?

Out the numbers 722, 649, 478, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.