GCD of 420, 840, 766, 355 Calculator

Given Input numbers are 420, 840, 766, 355

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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (420, 840, 766, 355) = 1.

Given numbers are 420, 840, 766, 355

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 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 766 are 2 x 383

Prime factors of 355 are 5 x 71

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

Given numbers are 420, 840, 766, 355

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

Apply this formula for all numbers.

Step1:

LCM(420, 840) = 840

GCD(420, 840) = ( 420 x 840 ) / 840

= 420 / 840

= 420

Step2:

LCM(420, 766) = 160860

GCD(420, 766) = ( 420 x 766 ) / 160860

= 420 / 766

= 420

Step3:

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

= 2 / 355

= 2

So, Greatest Common Divisor of 420, 840, 766, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 175, 139, 215
• GCD of 821, 349, 453, 800
• GCD of 168, 130, 869, 941
• GCD of 892, 631, 491, 578
• GCD of 623, 575, 839, 936

Given numbers are 420, 840, 766, 355
The greatest common divisor of numbers 420, 840, 766, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 840, 766, 355 is 1.

1. What is the GCD of 420, 840, 766, 355?

GCD of given numbers 420, 840, 766, 355 is 1

2. How to calculate the greatest common divisor of 420, 840, 766, 355?

We can find the highest common divisor of 420, 840, 766, 355 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, 840, 766, 355 i.e 1.

3. How can I use the GCD of 420, 840, 766, 355Calculator?

Out the numbers 420, 840, 766, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.