GCD of 870, 770, 430 Calculator

Given Input numbers are 870, 770, 430

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 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

GCD of numbers is the greatest common divisor

So, the GCD (870, 770, 430) = 10.

Given numbers are 870, 770, 430

The list of prime factors of all numbers are

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

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 430 are 2 x 5 x 43

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 870, 770, 430 is 10.

Given numbers are 870, 770, 430

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

Apply this formula for all numbers.

Step1:

LCM(870, 770) = 66990

GCD(870, 770) = ( 870 x 770 ) / 66990

= 870 / 770

= 870

Step2:

LCM(10, 430) = 430

GCD(10, 430) = ( 10 x 430 ) / 430

= 10 / 430

= 10

So, Greatest Common Divisor of 870, 770, 430 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 219, 216
• GCD of 100, 272, 167
• GCD of 532, 439, 878
• GCD of 407, 204, 752
• GCD of 931, 908, 477

Given numbers are 870, 770, 430
The greatest common divisor of numbers 870, 770, 430 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 770, 430 is 10.

1. What is the GCD of 870, 770, 430?

GCD of given numbers 870, 770, 430 is 10

2. How to calculate the greatest common divisor of 870, 770, 430?

We can find the highest common divisor of 870, 770, 430 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, 770, 430 i.e 10.

3. How can I use the GCD of 870, 770, 430Calculator?

Out the numbers 870, 770, 430 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.