GCD of 702, 816, 894, 434 Calculator

Given Input numbers are 702, 816, 894, 434

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

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 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

GCD of numbers is the greatest common divisor

So, the GCD (702, 816, 894, 434) = 2.

Given numbers are 702, 816, 894, 434

The list of prime factors of all numbers are

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

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 894 are 2 x 3 x 149

Prime factors of 434 are 2 x 7 x 31

The highest common occurrence is 2¹

Therefore, GCD of 702, 816, 894, 434 is 2.

Given numbers are 702, 816, 894, 434

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

Apply this formula for all numbers.

Step1:

LCM(702, 816) = 95472

GCD(702, 816) = ( 702 x 816 ) / 95472

= 702 / 816

= 702

Step2:

LCM(6, 894) = 894

GCD(6, 894) = ( 6 x 894 ) / 894

= 6 / 894

= 6

Step3:

LCM(6, 434) = 1302

GCD(6, 434) = ( 6 x 434 ) / 1302

= 6 / 434

= 6

So, Greatest Common Divisor of 702, 816, 894, 434 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 668, 781, 398, 133
• GCD of 584, 567, 193, 471
• GCD of 866, 904, 210, 785
• GCD of 997, 253, 454, 112
• GCD of 292, 793, 203, 850

Given numbers are 702, 816, 894, 434
The greatest common divisor of numbers 702, 816, 894, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 816, 894, 434 is 2.

1. What is the GCD of 702, 816, 894, 434?

GCD of given numbers 702, 816, 894, 434 is 2

2. How to calculate the greatest common divisor of 702, 816, 894, 434?

We can find the highest common divisor of 702, 816, 894, 434 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 702, 816, 894, 434 i.e 2.

3. How can I use the GCD of 702, 816, 894, 434Calculator?

Out the numbers 702, 816, 894, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.