GCD of 107, 438, 292, 420 Calculator

Given Input numbers are 107, 438, 292, 420

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

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

GCD of numbers is the greatest common divisor

So, the GCD (107, 438, 292, 420) = 1.

Given numbers are 107, 438, 292, 420

The list of prime factors of all numbers are

Prime factors of 107 are 107

Prime factors of 438 are 2 x 3 x 73

Prime factors of 292 are 2 x 2 x 73

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

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

Given numbers are 107, 438, 292, 420

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

Apply this formula for all numbers.

Step1:

LCM(107, 438) = 46866

GCD(107, 438) = ( 107 x 438 ) / 46866

= 107 / 438

= 107

Step2:

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

= 1 / 292

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 107, 438, 292, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 710, 279, 101
• GCD of 878, 417, 143, 757
• GCD of 551, 479, 378, 565
• GCD of 561, 946, 403, 348
• GCD of 226, 754, 959, 986

Given numbers are 107, 438, 292, 420
The greatest common divisor of numbers 107, 438, 292, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 438, 292, 420 is 1.

1. What is the GCD of 107, 438, 292, 420?

GCD of given numbers 107, 438, 292, 420 is 1

2. How to calculate the greatest common divisor of 107, 438, 292, 420?

We can find the highest common divisor of 107, 438, 292, 420 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 107, 438, 292, 420 i.e 1.

3. How can I use the GCD of 107, 438, 292, 420Calculator?

Out the numbers 107, 438, 292, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.