GCD of 138, 848, 851, 822 Calculator

Given Input numbers are 138, 848, 851, 822

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

Divisors of 138 :

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

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

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (138, 848, 851, 822) = 1.

Given numbers are 138, 848, 851, 822

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 851 are 23 x 37

Prime factors of 822 are 2 x 3 x 137

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

Given numbers are 138, 848, 851, 822

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

Apply this formula for all numbers.

Step1:

LCM(138, 848) = 58512

GCD(138, 848) = ( 138 x 848 ) / 58512

= 138 / 848

= 138

Step2:

LCM(2, 851) = 1702

GCD(2, 851) = ( 2 x 851 ) / 1702

= 2 / 851

= 2

Step3:

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

= 1 / 822

= 1

So, Greatest Common Divisor of 138, 848, 851, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 606, 987, 449
• GCD of 706, 963, 888, 870
• GCD of 947, 934, 232, 632
• GCD of 406, 142, 251, 172
• GCD of 823, 910, 928, 802

Given numbers are 138, 848, 851, 822
The greatest common divisor of numbers 138, 848, 851, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 848, 851, 822 is 1.

1. What is the GCD of 138, 848, 851, 822?

GCD of given numbers 138, 848, 851, 822 is 1

2. How to calculate the greatest common divisor of 138, 848, 851, 822?

We can find the highest common divisor of 138, 848, 851, 822 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 138, 848, 851, 822 i.e 1.

3. How can I use the GCD of 138, 848, 851, 822Calculator?

Out the numbers 138, 848, 851, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.