GCD of 840, 136, 972, 826 Calculator

Given Input numbers are 840, 136, 972, 826

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 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (840, 136, 972, 826) = 2.

Given numbers are 840, 136, 972, 826

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 136 are 2 x 2 x 2 x 17

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 840, 136, 972, 826 is 2.

Given numbers are 840, 136, 972, 826

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

Apply this formula for all numbers.

Step1:

LCM(840, 136) = 14280

GCD(840, 136) = ( 840 x 136 ) / 14280

= 840 / 136

= 840

Step2:

LCM(8, 972) = 1944

GCD(8, 972) = ( 8 x 972 ) / 1944

= 8 / 972

= 8

Step3:

LCM(4, 826) = 1652

GCD(4, 826) = ( 4 x 826 ) / 1652

= 4 / 826

= 4

So, Greatest Common Divisor of 840, 136, 972, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 343, 415, 132
• GCD of 409, 215, 240, 548
• GCD of 191, 575, 999, 280
• GCD of 510, 115, 505, 279
• GCD of 488, 960, 280, 693

Given numbers are 840, 136, 972, 826
The greatest common divisor of numbers 840, 136, 972, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 136, 972, 826 is 2.

1. What is the GCD of 840, 136, 972, 826?

GCD of given numbers 840, 136, 972, 826 is 2

2. How to calculate the greatest common divisor of 840, 136, 972, 826?

We can find the highest common divisor of 840, 136, 972, 826 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, 136, 972, 826 i.e 2.

3. How can I use the GCD of 840, 136, 972, 826Calculator?

Out the numbers 840, 136, 972, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.