GCD of 548, 212, 694 Calculator

Given Input numbers are 548, 212, 694

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

GCD of numbers is the greatest common divisor

So, the GCD (548, 212, 694) = 2.

Given numbers are 548, 212, 694

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 212 are 2 x 2 x 53

Prime factors of 694 are 2 x 347

The highest common occurrence is 2¹

Therefore, GCD of 548, 212, 694 is 2.

Given numbers are 548, 212, 694

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

Apply this formula for all numbers.

Step1:

LCM(548, 212) = 29044

GCD(548, 212) = ( 548 x 212 ) / 29044

= 548 / 212

= 548

Step2:

LCM(4, 694) = 1388

GCD(4, 694) = ( 4 x 694 ) / 1388

= 4 / 694

= 4

So, Greatest Common Divisor of 548, 212, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 333, 704
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Given numbers are 548, 212, 694
The greatest common divisor of numbers 548, 212, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 212, 694 is 2.

1. What is the GCD of 548, 212, 694?

GCD of given numbers 548, 212, 694 is 2

2. How to calculate the greatest common divisor of 548, 212, 694?

We can find the highest common divisor of 548, 212, 694 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 548, 212, 694 i.e 2.

3. How can I use the GCD of 548, 212, 694Calculator?

Out the numbers 548, 212, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.