GCD of 870, 381, 736, 138 Calculator

Given Input numbers are 870, 381, 736, 138

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (870, 381, 736, 138) = 1.

Given numbers are 870, 381, 736, 138

The list of prime factors of all numbers are

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 381 are 3 x 127

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 870, 381, 736, 138

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

Apply this formula for all numbers.

Step1:

LCM(870, 381) = 110490

GCD(870, 381) = ( 870 x 381 ) / 110490

= 870 / 381

= 870

Step2:

LCM(3, 736) = 2208

GCD(3, 736) = ( 3 x 736 ) / 2208

= 3 / 736

= 3

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 870, 381, 736, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 601, 871, 867
• GCD of 528, 160, 411, 549
• GCD of 993, 919, 247, 534
• GCD of 957, 942, 931, 929
• GCD of 685, 783, 273, 190

Given numbers are 870, 381, 736, 138
The greatest common divisor of numbers 870, 381, 736, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 381, 736, 138 is 1.

1. What is the GCD of 870, 381, 736, 138?

GCD of given numbers 870, 381, 736, 138 is 1

2. How to calculate the greatest common divisor of 870, 381, 736, 138?

We can find the highest common divisor of 870, 381, 736, 138 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 870, 381, 736, 138 i.e 1.

3. How can I use the GCD of 870, 381, 736, 138Calculator?

Out the numbers 870, 381, 736, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.