GCD of 840, 438, 420, 354 Calculator

Given Input numbers are 840, 438, 420, 354

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

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 438 :

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

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

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (840, 438, 420, 354) = 6.

Given numbers are 840, 438, 420, 354

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 438 are 2 x 3 x 73

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

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 840, 438, 420, 354 is 6.

Given numbers are 840, 438, 420, 354

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

Apply this formula for all numbers.

Step1:

LCM(840, 438) = 61320

GCD(840, 438) = ( 840 x 438 ) / 61320

= 840 / 438

= 840

Step2:

LCM(6, 420) = 420

GCD(6, 420) = ( 6 x 420 ) / 420

= 6 / 420

= 6

Step3:

LCM(6, 354) = 354

GCD(6, 354) = ( 6 x 354 ) / 354

= 6 / 354

= 6

So, Greatest Common Divisor of 840, 438, 420, 354 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 543, 311, 472
• GCD of 558, 133, 277, 123
• GCD of 203, 531, 965, 185
• GCD of 965, 478, 261, 272
• GCD of 655, 865, 158, 594

Given numbers are 840, 438, 420, 354
The greatest common divisor of numbers 840, 438, 420, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 438, 420, 354 is 6.

1. What is the GCD of 840, 438, 420, 354?

GCD of given numbers 840, 438, 420, 354 is 6

2. How to calculate the greatest common divisor of 840, 438, 420, 354?

We can find the highest common divisor of 840, 438, 420, 354 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 840, 438, 420, 354 i.e 6.

3. How can I use the GCD of 840, 438, 420, 354Calculator?

Out the numbers 840, 438, 420, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.