GCD of 720, 206, 778, 972 Calculator

Given Input numbers are 720, 206, 778, 972

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 778 :

The positive integer divisors of 778 that completely divides 778 are.

1, 2, 389, 778

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (720, 206, 778, 972) = 2.

Given numbers are 720, 206, 778, 972

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 206 are 2 x 103

Prime factors of 778 are 2 x 389

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 720, 206, 778, 972 is 2.

Given numbers are 720, 206, 778, 972

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

Apply this formula for all numbers.

Step1:

LCM(720, 206) = 74160

GCD(720, 206) = ( 720 x 206 ) / 74160

= 720 / 206

= 720

Step2:

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

= 2 / 778

= 2

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 720, 206, 778, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 577, 636, 898
• GCD of 550, 517, 667, 287
• GCD of 978, 720, 286, 565
• GCD of 824, 276, 549, 606
• GCD of 748, 313, 458, 498

Given numbers are 720, 206, 778, 972
The greatest common divisor of numbers 720, 206, 778, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 206, 778, 972 is 2.

1. What is the GCD of 720, 206, 778, 972?

GCD of given numbers 720, 206, 778, 972 is 2

2. How to calculate the greatest common divisor of 720, 206, 778, 972?

We can find the highest common divisor of 720, 206, 778, 972 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 720, 206, 778, 972 i.e 2.

3. How can I use the GCD of 720, 206, 778, 972Calculator?

Out the numbers 720, 206, 778, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.