GCD of 542, 402, 196, 546 Calculator

Given Input numbers are 542, 402, 196, 546

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 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

GCD of numbers is the greatest common divisor

So, the GCD (542, 402, 196, 546) = 2.

Given numbers are 542, 402, 196, 546

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

Prime factors of 402 are 2 x 3 x 67

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 546 are 2 x 3 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 542, 402, 196, 546 is 2.

Given numbers are 542, 402, 196, 546

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

Apply this formula for all numbers.

Step1:

LCM(542, 402) = 108942

GCD(542, 402) = ( 542 x 402 ) / 108942

= 542 / 402

= 542

Step2:

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

= 2 / 196

= 2

Step3:

LCM(2, 546) = 546

GCD(2, 546) = ( 2 x 546 ) / 546

= 2 / 546

= 2

So, Greatest Common Divisor of 542, 402, 196, 546 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 507, 814, 498
• GCD of 245, 979, 746, 113
• GCD of 645, 318, 647, 499
• GCD of 296, 552, 876, 398
• GCD of 955, 863, 283, 163

Given numbers are 542, 402, 196, 546
The greatest common divisor of numbers 542, 402, 196, 546 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 402, 196, 546 is 2.

1. What is the GCD of 542, 402, 196, 546?

GCD of given numbers 542, 402, 196, 546 is 2

2. How to calculate the greatest common divisor of 542, 402, 196, 546?

We can find the highest common divisor of 542, 402, 196, 546 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, 402, 196, 546 i.e 2.

3. How can I use the GCD of 542, 402, 196, 546Calculator?

Out the numbers 542, 402, 196, 546 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.