GCD of 420, 143, 780, 754 Calculator

Given Input numbers are 420, 143, 780, 754

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 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

GCD of numbers is the greatest common divisor

So, the GCD (420, 143, 780, 754) = 1.

Given numbers are 420, 143, 780, 754

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 143 are 11 x 13

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 754 are 2 x 13 x 29

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

Given numbers are 420, 143, 780, 754

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

Apply this formula for all numbers.

Step1:

LCM(420, 143) = 60060

GCD(420, 143) = ( 420 x 143 ) / 60060

= 420 / 143

= 420

Step2:

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

= 1 / 780

= 1

Step3:

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

= 1 / 754

= 1

So, Greatest Common Divisor of 420, 143, 780, 754 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 903, 939, 457
• GCD of 272, 443, 671, 529
• GCD of 669, 517, 220, 727
• GCD of 241, 619, 828, 658
• GCD of 656, 901, 588, 707

Given numbers are 420, 143, 780, 754
The greatest common divisor of numbers 420, 143, 780, 754 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 143, 780, 754 is 1.

1. What is the GCD of 420, 143, 780, 754?

GCD of given numbers 420, 143, 780, 754 is 1

2. How to calculate the greatest common divisor of 420, 143, 780, 754?

We can find the highest common divisor of 420, 143, 780, 754 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, 143, 780, 754 i.e 1.

3. How can I use the GCD of 420, 143, 780, 754Calculator?

Out the numbers 420, 143, 780, 754 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.