GCD of 782, 226, 702, 870 Calculator

Given Input numbers are 782, 226, 702, 870

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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

GCD of numbers is the greatest common divisor

So, the GCD (782, 226, 702, 870) = 2.

Given numbers are 782, 226, 702, 870

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 226 are 2 x 113

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 782, 226, 702, 870 is 2.

Given numbers are 782, 226, 702, 870

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

Apply this formula for all numbers.

Step1:

LCM(782, 226) = 88366

GCD(782, 226) = ( 782 x 226 ) / 88366

= 782 / 226

= 782

Step2:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

Step3:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2

So, Greatest Common Divisor of 782, 226, 702, 870 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 468, 652, 944
• GCD of 676, 365, 495, 661
• GCD of 746, 296, 449, 813
• GCD of 777, 707, 210, 298
• GCD of 112, 548, 831, 315

Given numbers are 782, 226, 702, 870
The greatest common divisor of numbers 782, 226, 702, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 226, 702, 870 is 2.

1. What is the GCD of 782, 226, 702, 870?

GCD of given numbers 782, 226, 702, 870 is 2

2. How to calculate the greatest common divisor of 782, 226, 702, 870?

We can find the highest common divisor of 782, 226, 702, 870 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 782, 226, 702, 870 i.e 2.

3. How can I use the GCD of 782, 226, 702, 870Calculator?

Out the numbers 782, 226, 702, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.