GCD of 504, 354, 148, 679 Calculator

Given Input numbers are 504, 354, 148, 679

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 354 :

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

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

GCD of numbers is the greatest common divisor

So, the GCD (504, 354, 148, 679) = 1.

Given numbers are 504, 354, 148, 679

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 354 are 2 x 3 x 59

Prime factors of 148 are 2 x 2 x 37

Prime factors of 679 are 7 x 97

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

Given numbers are 504, 354, 148, 679

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

Apply this formula for all numbers.

Step1:

LCM(504, 354) = 29736

GCD(504, 354) = ( 504 x 354 ) / 29736

= 504 / 354

= 504

Step2:

LCM(6, 148) = 444

GCD(6, 148) = ( 6 x 148 ) / 444

= 6 / 148

= 6

Step3:

LCM(2, 679) = 1358

GCD(2, 679) = ( 2 x 679 ) / 1358

= 2 / 679

= 2

So, Greatest Common Divisor of 504, 354, 148, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 614, 188, 670
• GCD of 786, 465, 772, 137
• GCD of 954, 310, 873, 905
• GCD of 472, 770, 488, 294
• GCD of 525, 915, 860, 448

Given numbers are 504, 354, 148, 679
The greatest common divisor of numbers 504, 354, 148, 679 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 354, 148, 679 is 1.

1. What is the GCD of 504, 354, 148, 679?

GCD of given numbers 504, 354, 148, 679 is 1

2. How to calculate the greatest common divisor of 504, 354, 148, 679?

We can find the highest common divisor of 504, 354, 148, 679 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 504, 354, 148, 679 i.e 1.

3. How can I use the GCD of 504, 354, 148, 679Calculator?

Out the numbers 504, 354, 148, 679 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.