GCD of 420, 514, 676, 620 Calculator

Given Input numbers are 420, 514, 676, 620

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

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 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

GCD of numbers is the greatest common divisor

So, the GCD (420, 514, 676, 620) = 2.

Given numbers are 420, 514, 676, 620

The list of prime factors of all numbers are

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

Prime factors of 514 are 2 x 257

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 620 are 2 x 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 420, 514, 676, 620 is 2.

Given numbers are 420, 514, 676, 620

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

Apply this formula for all numbers.

Step1:

LCM(420, 514) = 107940

GCD(420, 514) = ( 420 x 514 ) / 107940

= 420 / 514

= 420

Step2:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

Step3:

LCM(2, 620) = 620

GCD(2, 620) = ( 2 x 620 ) / 620

= 2 / 620

= 2

So, Greatest Common Divisor of 420, 514, 676, 620 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 126, 829, 329, 499
• GCD of 282, 151, 741, 396
• GCD of 843, 927, 973, 987
• GCD of 152, 391, 745, 159
• GCD of 288, 123, 363, 387

Given numbers are 420, 514, 676, 620
The greatest common divisor of numbers 420, 514, 676, 620 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 514, 676, 620 is 2.

1. What is the GCD of 420, 514, 676, 620?

GCD of given numbers 420, 514, 676, 620 is 2

2. How to calculate the greatest common divisor of 420, 514, 676, 620?

We can find the highest common divisor of 420, 514, 676, 620 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 420, 514, 676, 620 i.e 2.

3. How can I use the GCD of 420, 514, 676, 620Calculator?

Out the numbers 420, 514, 676, 620 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.