GCD of 542, 920, 688, 280 Calculator

Given Input numbers are 542, 920, 688, 280

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

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 (542, 920, 688, 280) = 2.

Given numbers are 542, 920, 688, 280

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

The highest common occurrence is 2¹

Therefore, GCD of 542, 920, 688, 280 is 2.

Given numbers are 542, 920, 688, 280

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

Apply this formula for all numbers.

Step1:

LCM(542, 920) = 249320

GCD(542, 920) = ( 542 x 920 ) / 249320

= 542 / 920

= 542

Step2:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

Step3:

LCM(2, 280) = 280

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

= 2 / 280

= 2

So, Greatest Common Divisor of 542, 920, 688, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 662, 299, 719
• GCD of 357, 947, 122, 427
• GCD of 335, 440, 251, 582
• GCD of 307, 148, 357, 838
• GCD of 837, 399, 101, 546

Given numbers are 542, 920, 688, 280
The greatest common divisor of numbers 542, 920, 688, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 920, 688, 280 is 2.

1. What is the GCD of 542, 920, 688, 280?

GCD of given numbers 542, 920, 688, 280 is 2

2. How to calculate the greatest common divisor of 542, 920, 688, 280?

We can find the highest common divisor of 542, 920, 688, 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 542, 920, 688, 280 i.e 2.

3. How can I use the GCD of 542, 920, 688, 280Calculator?

Out the numbers 542, 920, 688, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.