GCD of 542, 349, 892, 420 Calculator

Given Input numbers are 542, 349, 892, 420

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 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (542, 349, 892, 420) = 1.

Given numbers are 542, 349, 892, 420

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 349 are 349

Prime factors of 892 are 2 x 2 x 223

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 542, 349, 892, 420

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

Apply this formula for all numbers.

Step1:

LCM(542, 349) = 189158

GCD(542, 349) = ( 542 x 349 ) / 189158

= 542 / 349

= 542

Step2:

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

= 1 / 892

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 542, 349, 892, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 354, 354, 805
• GCD of 524, 573, 187, 356
• GCD of 540, 915, 471, 619
• GCD of 349, 116, 339, 797
• GCD of 888, 817, 468, 134

Given numbers are 542, 349, 892, 420
The greatest common divisor of numbers 542, 349, 892, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 349, 892, 420 is 1.

1. What is the GCD of 542, 349, 892, 420?

GCD of given numbers 542, 349, 892, 420 is 1

2. How to calculate the greatest common divisor of 542, 349, 892, 420?

We can find the highest common divisor of 542, 349, 892, 420 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, 349, 892, 420 i.e 1.

3. How can I use the GCD of 542, 349, 892, 420Calculator?

Out the numbers 542, 349, 892, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.