GCD of 420, 876, 688, 347 Calculator

Given Input numbers are 420, 876, 688, 347

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 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 347 :

The positive integer divisors of 347 that completely divides 347 are.

1, 347

GCD of numbers is the greatest common divisor

So, the GCD (420, 876, 688, 347) = 1.

Given numbers are 420, 876, 688, 347

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 876 are 2 x 2 x 3 x 73

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 347 are 347

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

Given numbers are 420, 876, 688, 347

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

Apply this formula for all numbers.

Step1:

LCM(420, 876) = 30660

GCD(420, 876) = ( 420 x 876 ) / 30660

= 420 / 876

= 420

Step2:

LCM(12, 688) = 2064

GCD(12, 688) = ( 12 x 688 ) / 2064

= 12 / 688

= 12

Step3:

LCM(4, 347) = 1388

GCD(4, 347) = ( 4 x 347 ) / 1388

= 4 / 347

= 4

So, Greatest Common Divisor of 420, 876, 688, 347 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 981, 423, 411
• GCD of 501, 178, 114, 817
• GCD of 898, 800, 205, 423
• GCD of 561, 861, 934, 462
• GCD of 910, 586, 139, 691

Given numbers are 420, 876, 688, 347
The greatest common divisor of numbers 420, 876, 688, 347 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 876, 688, 347 is 1.

1. What is the GCD of 420, 876, 688, 347?

GCD of given numbers 420, 876, 688, 347 is 1

2. How to calculate the greatest common divisor of 420, 876, 688, 347?

We can find the highest common divisor of 420, 876, 688, 347 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, 876, 688, 347 i.e 1.

3. How can I use the GCD of 420, 876, 688, 347Calculator?

Out the numbers 420, 876, 688, 347 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.