GCD of 504, 542, 988, 348 Calculator

Given Input numbers are 504, 542, 988, 348

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 542 :

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

1, 2, 271, 542

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (504, 542, 988, 348) = 2.

Given numbers are 504, 542, 988, 348

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 542 are 2 x 271

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 504, 542, 988, 348 is 2.

Given numbers are 504, 542, 988, 348

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

Apply this formula for all numbers.

Step1:

LCM(504, 542) = 136584

GCD(504, 542) = ( 504 x 542 ) / 136584

= 504 / 542

= 504

Step2:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

Step3:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2

So, Greatest Common Divisor of 504, 542, 988, 348 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 811, 793, 627
• GCD of 444, 871, 447, 412
• GCD of 975, 346, 355, 478
• GCD of 954, 226, 958, 649
• GCD of 724, 305, 685, 115

Given numbers are 504, 542, 988, 348
The greatest common divisor of numbers 504, 542, 988, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 542, 988, 348 is 2.

1. What is the GCD of 504, 542, 988, 348?

GCD of given numbers 504, 542, 988, 348 is 2

2. How to calculate the greatest common divisor of 504, 542, 988, 348?

We can find the highest common divisor of 504, 542, 988, 348 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 504, 542, 988, 348 i.e 2.

3. How can I use the GCD of 504, 542, 988, 348Calculator?

Out the numbers 504, 542, 988, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.