GCD of 356, 524, 980, 584 Calculator

Given Input numbers are 356, 524, 980, 584

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

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 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (356, 524, 980, 584) = 4.

Given numbers are 356, 524, 980, 584

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 524 are 2 x 2 x 131

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

Prime factors of 584 are 2 x 2 x 2 x 73

The highest common occurrence is 2²

Therefore, GCD of 356, 524, 980, 584 is 4.

Given numbers are 356, 524, 980, 584

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

Apply this formula for all numbers.

Step1:

LCM(356, 524) = 46636

GCD(356, 524) = ( 356 x 524 ) / 46636

= 356 / 524

= 356

Step2:

LCM(4, 980) = 980

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

= 4 / 980

= 4

Step3:

LCM(4, 584) = 584

GCD(4, 584) = ( 4 x 584 ) / 584

= 4 / 584

= 4

So, Greatest Common Divisor of 356, 524, 980, 584 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 102, 975, 158
• GCD of 889, 965, 205, 996
• GCD of 209, 799, 655, 556
• GCD of 847, 847, 619, 947
• GCD of 107, 949, 808, 613

Given numbers are 356, 524, 980, 584
The greatest common divisor of numbers 356, 524, 980, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 524, 980, 584 is 4.

1. What is the GCD of 356, 524, 980, 584?

GCD of given numbers 356, 524, 980, 584 is 4

2. How to calculate the greatest common divisor of 356, 524, 980, 584?

We can find the highest common divisor of 356, 524, 980, 584 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 356, 524, 980, 584 i.e 4.

3. How can I use the GCD of 356, 524, 980, 584Calculator?

Out the numbers 356, 524, 980, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.