GCD of 849, 870, 698, 144 Calculator

Given Input numbers are 849, 870, 698, 144

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

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 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (849, 870, 698, 144) = 1.

Given numbers are 849, 870, 698, 144

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

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

Prime factors of 698 are 2 x 349

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 849, 870, 698, 144

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

Apply this formula for all numbers.

Step1:

LCM(849, 870) = 246210

GCD(849, 870) = ( 849 x 870 ) / 246210

= 849 / 870

= 849

Step2:

LCM(3, 698) = 2094

GCD(3, 698) = ( 3 x 698 ) / 2094

= 3 / 698

= 3

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 849, 870, 698, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 914, 782, 741
• GCD of 755, 727, 464, 152
• GCD of 265, 622, 550, 365
• GCD of 237, 758, 758, 183
• GCD of 523, 712, 146, 479

Given numbers are 849, 870, 698, 144
The greatest common divisor of numbers 849, 870, 698, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 870, 698, 144 is 1.

1. What is the GCD of 849, 870, 698, 144?

GCD of given numbers 849, 870, 698, 144 is 1

2. How to calculate the greatest common divisor of 849, 870, 698, 144?

We can find the highest common divisor of 849, 870, 698, 144 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 849, 870, 698, 144 i.e 1.

3. How can I use the GCD of 849, 870, 698, 144Calculator?

Out the numbers 849, 870, 698, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.