GCD of 290, 420, 428, 670 Calculator

Given Input numbers are 290, 420, 428, 670

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

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

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 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

GCD of numbers is the greatest common divisor

So, the GCD (290, 420, 428, 670) = 2.

Given numbers are 290, 420, 428, 670

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

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

Prime factors of 428 are 2 x 2 x 107

Prime factors of 670 are 2 x 5 x 67

The highest common occurrence is 2¹

Therefore, GCD of 290, 420, 428, 670 is 2.

Given numbers are 290, 420, 428, 670

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

Apply this formula for all numbers.

Step1:

LCM(290, 420) = 12180

GCD(290, 420) = ( 290 x 420 ) / 12180

= 290 / 420

= 290

Step2:

LCM(10, 428) = 2140

GCD(10, 428) = ( 10 x 428 ) / 2140

= 10 / 428

= 10

Step3:

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

= 2 / 670

= 2

So, Greatest Common Divisor of 290, 420, 428, 670 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 120, 118, 289
• GCD of 486, 294, 720, 169
• GCD of 699, 497, 935, 967
• GCD of 310, 928, 243, 302
• GCD of 439, 952, 917, 508

Given numbers are 290, 420, 428, 670
The greatest common divisor of numbers 290, 420, 428, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 420, 428, 670 is 2.

1. What is the GCD of 290, 420, 428, 670?

GCD of given numbers 290, 420, 428, 670 is 2

2. How to calculate the greatest common divisor of 290, 420, 428, 670?

We can find the highest common divisor of 290, 420, 428, 670 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 290, 420, 428, 670 i.e 2.

3. How can I use the GCD of 290, 420, 428, 670Calculator?

Out the numbers 290, 420, 428, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.