GCD of 674, 420, 546, 588 Calculator

Given Input numbers are 674, 420, 546, 588

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (674, 420, 546, 588) = 2.

Given numbers are 674, 420, 546, 588

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 674, 420, 546, 588 is 2.

Given numbers are 674, 420, 546, 588

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

Apply this formula for all numbers.

Step1:

LCM(674, 420) = 141540

GCD(674, 420) = ( 674 x 420 ) / 141540

= 674 / 420

= 674

Step2:

LCM(2, 546) = 546

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

= 2 / 546

= 2

Step3:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2

So, Greatest Common Divisor of 674, 420, 546, 588 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 449, 369, 627
• GCD of 727, 426, 292, 347
• GCD of 856, 852, 400, 608
• GCD of 443, 100, 313, 838
• GCD of 130, 410, 397, 851

Given numbers are 674, 420, 546, 588
The greatest common divisor of numbers 674, 420, 546, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 420, 546, 588 is 2.

1. What is the GCD of 674, 420, 546, 588?

GCD of given numbers 674, 420, 546, 588 is 2

2. How to calculate the greatest common divisor of 674, 420, 546, 588?

We can find the highest common divisor of 674, 420, 546, 588 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 674, 420, 546, 588 i.e 2.

3. How can I use the GCD of 674, 420, 546, 588Calculator?

Out the numbers 674, 420, 546, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.