GCD of 534, 986, 180, 280 Calculator

Given Input numbers are 534, 986, 180, 280

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

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (534, 986, 180, 280) = 2.

Given numbers are 534, 986, 180, 280

The list of prime factors of all numbers are

Prime factors of 534 are 2 x 3 x 89

Prime factors of 986 are 2 x 17 x 29

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

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 534, 986, 180, 280 is 2.

Given numbers are 534, 986, 180, 280

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

Apply this formula for all numbers.

Step1:

LCM(534, 986) = 263262

GCD(534, 986) = ( 534 x 986 ) / 263262

= 534 / 986

= 534

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 534, 986, 180, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 508, 828, 601
• GCD of 585, 544, 598, 891
• GCD of 490, 888, 370, 819
• GCD of 617, 496, 516, 405
• GCD of 137, 954, 726, 879

Given numbers are 534, 986, 180, 280
The greatest common divisor of numbers 534, 986, 180, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 986, 180, 280 is 2.

1. What is the GCD of 534, 986, 180, 280?

GCD of given numbers 534, 986, 180, 280 is 2

2. How to calculate the greatest common divisor of 534, 986, 180, 280?

We can find the highest common divisor of 534, 986, 180, 280 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 534, 986, 180, 280 i.e 2.

3. How can I use the GCD of 534, 986, 180, 280Calculator?

Out the numbers 534, 986, 180, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.