GCD of 576, 716, 980, 694 Calculator

Given Input numbers are 576, 716, 980, 694

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

GCD of numbers is the greatest common divisor

So, the GCD (576, 716, 980, 694) = 2.

Given numbers are 576, 716, 980, 694

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 716 are 2 x 2 x 179

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 694 are 2 x 347

The highest common occurrence is 2¹

Therefore, GCD of 576, 716, 980, 694 is 2.

Given numbers are 576, 716, 980, 694

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

Apply this formula for all numbers.

Step1:

LCM(576, 716) = 103104

GCD(576, 716) = ( 576 x 716 ) / 103104

= 576 / 716

= 576

Step2:

LCM(4, 980) = 980

GCD(4, 980) = ( 4 x 980 ) / 980

= 4 / 980

= 4

Step3:

LCM(4, 694) = 1388

GCD(4, 694) = ( 4 x 694 ) / 1388

= 4 / 694

= 4

So, Greatest Common Divisor of 576, 716, 980, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 512, 702, 342
• GCD of 716, 225, 211, 133
• GCD of 678, 470, 883, 271
• GCD of 563, 326, 331, 165
• GCD of 543, 520, 566, 486

Given numbers are 576, 716, 980, 694
The greatest common divisor of numbers 576, 716, 980, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 716, 980, 694 is 2.

1. What is the GCD of 576, 716, 980, 694?

GCD of given numbers 576, 716, 980, 694 is 2

2. How to calculate the greatest common divisor of 576, 716, 980, 694?

We can find the highest common divisor of 576, 716, 980, 694 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 576, 716, 980, 694 i.e 2.

3. How can I use the GCD of 576, 716, 980, 694Calculator?

Out the numbers 576, 716, 980, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.