GCD of 654, 732, 694, 354 Calculator

Given Input numbers are 654, 732, 694, 354

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 694 :

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

1, 2, 347, 694

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (654, 732, 694, 354) = 2.

Given numbers are 654, 732, 694, 354

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 694 are 2 x 347

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 654, 732, 694, 354 is 2.

Given numbers are 654, 732, 694, 354

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

Apply this formula for all numbers.

Step1:

LCM(654, 732) = 79788

GCD(654, 732) = ( 654 x 732 ) / 79788

= 654 / 732

= 654

Step2:

LCM(6, 694) = 2082

GCD(6, 694) = ( 6 x 694 ) / 2082

= 6 / 694

= 6

Step3:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

So, Greatest Common Divisor of 654, 732, 694, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 510, 906, 748
• GCD of 963, 432, 623, 946
• GCD of 721, 721, 383, 830
• GCD of 903, 229, 579, 261
• GCD of 978, 166, 612, 138

Given numbers are 654, 732, 694, 354
The greatest common divisor of numbers 654, 732, 694, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 732, 694, 354 is 2.

1. What is the GCD of 654, 732, 694, 354?

GCD of given numbers 654, 732, 694, 354 is 2

2. How to calculate the greatest common divisor of 654, 732, 694, 354?

We can find the highest common divisor of 654, 732, 694, 354 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 654, 732, 694, 354 i.e 2.

3. How can I use the GCD of 654, 732, 694, 354Calculator?

Out the numbers 654, 732, 694, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.