GCD of 870, 364, 719, 196 Calculator

Given Input numbers are 870, 364, 719, 196

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 719 :

The positive integer divisors of 719 that completely divides 719 are.

1, 719

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

GCD of numbers is the greatest common divisor

So, the GCD (870, 364, 719, 196) = 1.

Given numbers are 870, 364, 719, 196

The list of prime factors of all numbers are

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

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 719 are 719

Prime factors of 196 are 2 x 2 x 7 x 7

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

Given numbers are 870, 364, 719, 196

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

Apply this formula for all numbers.

Step1:

LCM(870, 364) = 158340

GCD(870, 364) = ( 870 x 364 ) / 158340

= 870 / 364

= 870

Step2:

LCM(2, 719) = 1438

GCD(2, 719) = ( 2 x 719 ) / 1438

= 2 / 719

= 2

Step3:

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

= 1 / 196

= 1

So, Greatest Common Divisor of 870, 364, 719, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 360, 389, 259
• GCD of 890, 468, 120, 872
• GCD of 920, 269, 272, 112
• GCD of 532, 816, 701, 857
• GCD of 345, 770, 921, 794

Given numbers are 870, 364, 719, 196
The greatest common divisor of numbers 870, 364, 719, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 364, 719, 196 is 1.

1. What is the GCD of 870, 364, 719, 196?

GCD of given numbers 870, 364, 719, 196 is 1

2. How to calculate the greatest common divisor of 870, 364, 719, 196?

We can find the highest common divisor of 870, 364, 719, 196 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, 364, 719, 196 i.e 1.

3. How can I use the GCD of 870, 364, 719, 196Calculator?

Out the numbers 870, 364, 719, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.