GCD of 542, 196, 938, 966 Calculator

Given Input numbers are 542, 196, 938, 966

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 196 :

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

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (542, 196, 938, 966) = 2.

Given numbers are 542, 196, 938, 966

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

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

Prime factors of 938 are 2 x 7 x 67

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 542, 196, 938, 966 is 2.

Given numbers are 542, 196, 938, 966

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

Apply this formula for all numbers.

Step1:

LCM(542, 196) = 53116

GCD(542, 196) = ( 542 x 196 ) / 53116

= 542 / 196

= 542

Step2:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2

Step3:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

So, Greatest Common Divisor of 542, 196, 938, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 819, 351, 898
• GCD of 450, 592, 791, 954
• GCD of 517, 443, 399, 408
• GCD of 136, 341, 807, 804
• GCD of 193, 749, 748, 406

Given numbers are 542, 196, 938, 966
The greatest common divisor of numbers 542, 196, 938, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 196, 938, 966 is 2.

1. What is the GCD of 542, 196, 938, 966?

GCD of given numbers 542, 196, 938, 966 is 2

2. How to calculate the greatest common divisor of 542, 196, 938, 966?

We can find the highest common divisor of 542, 196, 938, 966 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, 196, 938, 966 i.e 2.

3. How can I use the GCD of 542, 196, 938, 966Calculator?

Out the numbers 542, 196, 938, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.