GCD of 840, 138, 676, 478 Calculator

Given Input numbers are 840, 138, 676, 478

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

GCD of numbers is the greatest common divisor

So, the GCD (840, 138, 676, 478) = 2.

Given numbers are 840, 138, 676, 478

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 138 are 2 x 3 x 23

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 478 are 2 x 239

The highest common occurrence is 2¹

Therefore, GCD of 840, 138, 676, 478 is 2.

Given numbers are 840, 138, 676, 478

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

Apply this formula for all numbers.

Step1:

LCM(840, 138) = 19320

GCD(840, 138) = ( 840 x 138 ) / 19320

= 840 / 138

= 840

Step2:

LCM(6, 676) = 2028

GCD(6, 676) = ( 6 x 676 ) / 2028

= 6 / 676

= 6

Step3:

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

= 2 / 478

= 2

So, Greatest Common Divisor of 840, 138, 676, 478 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 917, 290, 617
• GCD of 732, 627, 788, 949
• GCD of 160, 689, 823, 483
• GCD of 485, 351, 987, 753
• GCD of 552, 879, 208, 409

Given numbers are 840, 138, 676, 478
The greatest common divisor of numbers 840, 138, 676, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 138, 676, 478 is 2.

1. What is the GCD of 840, 138, 676, 478?

GCD of given numbers 840, 138, 676, 478 is 2

2. How to calculate the greatest common divisor of 840, 138, 676, 478?

We can find the highest common divisor of 840, 138, 676, 478 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, 138, 676, 478 i.e 2.

3. How can I use the GCD of 840, 138, 676, 478Calculator?

Out the numbers 840, 138, 676, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.