GCD of 802, 706, 904, 740 Calculator

Given Input numbers are 802, 706, 904, 740

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (802, 706, 904, 740) = 2.

Given numbers are 802, 706, 904, 740

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 706 are 2 x 353

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 740 are 2 x 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 802, 706, 904, 740 is 2.

Given numbers are 802, 706, 904, 740

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

Apply this formula for all numbers.

Step1:

LCM(802, 706) = 283106

GCD(802, 706) = ( 802 x 706 ) / 283106

= 802 / 706

= 802

Step2:

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

= 2 / 904

= 2

Step3:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

So, Greatest Common Divisor of 802, 706, 904, 740 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 661, 525, 309
• GCD of 232, 804, 339, 581
• GCD of 343, 922, 211, 204
• GCD of 256, 135, 352, 124
• GCD of 632, 215, 427, 644

Given numbers are 802, 706, 904, 740
The greatest common divisor of numbers 802, 706, 904, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 706, 904, 740 is 2.

1. What is the GCD of 802, 706, 904, 740?

GCD of given numbers 802, 706, 904, 740 is 2

2. How to calculate the greatest common divisor of 802, 706, 904, 740?

We can find the highest common divisor of 802, 706, 904, 740 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 802, 706, 904, 740 i.e 2.

3. How can I use the GCD of 802, 706, 904, 740Calculator?

Out the numbers 802, 706, 904, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.