GCD of 420, 527, 532, 678 Calculator

Given Input numbers are 420, 527, 532, 678

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 527 :

The positive integer divisors of 527 that completely divides 527 are.

1, 17, 31, 527

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (420, 527, 532, 678) = 1.

Given numbers are 420, 527, 532, 678

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 527 are 17 x 31

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 678 are 2 x 3 x 113

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

Given numbers are 420, 527, 532, 678

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

Apply this formula for all numbers.

Step1:

LCM(420, 527) = 221340

GCD(420, 527) = ( 420 x 527 ) / 221340

= 420 / 527

= 420

Step2:

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

= 1 / 532

= 1

Step3:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

So, Greatest Common Divisor of 420, 527, 532, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 591, 716, 135
• GCD of 864, 910, 343, 602
• GCD of 717, 529, 236, 341
• GCD of 436, 806, 451, 170
• GCD of 335, 946, 384, 528

Given numbers are 420, 527, 532, 678
The greatest common divisor of numbers 420, 527, 532, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 527, 532, 678 is 1.

1. What is the GCD of 420, 527, 532, 678?

GCD of given numbers 420, 527, 532, 678 is 1

2. How to calculate the greatest common divisor of 420, 527, 532, 678?

We can find the highest common divisor of 420, 527, 532, 678 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, 527, 532, 678 i.e 1.

3. How can I use the GCD of 420, 527, 532, 678Calculator?

Out the numbers 420, 527, 532, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.