GCD of 902, 688, 705, 355 Calculator

Given Input numbers are 902, 688, 705, 355

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (902, 688, 705, 355) = 1.

Given numbers are 902, 688, 705, 355

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 705 are 3 x 5 x 47

Prime factors of 355 are 5 x 71

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

Given numbers are 902, 688, 705, 355

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

Apply this formula for all numbers.

Step1:

LCM(902, 688) = 310288

GCD(902, 688) = ( 902 x 688 ) / 310288

= 902 / 688

= 902

Step2:

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

= 2 / 705

= 2

Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 902, 688, 705, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 526, 920, 999, 878
• GCD of 324, 480, 948, 336
• GCD of 917, 944, 307, 736
• GCD of 843, 310, 465, 415
• GCD of 452, 244, 961, 306

Given numbers are 902, 688, 705, 355
The greatest common divisor of numbers 902, 688, 705, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 688, 705, 355 is 1.

1. What is the GCD of 902, 688, 705, 355?

GCD of given numbers 902, 688, 705, 355 is 1

2. How to calculate the greatest common divisor of 902, 688, 705, 355?

We can find the highest common divisor of 902, 688, 705, 355 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 902, 688, 705, 355 i.e 1.

3. How can I use the GCD of 902, 688, 705, 355Calculator?

Out the numbers 902, 688, 705, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.