GCD of 440, 756, 838, 702 Calculator

Given Input numbers are 440, 756, 838, 702

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

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

GCD of numbers is the greatest common divisor

So, the GCD (440, 756, 838, 702) = 2.

Given numbers are 440, 756, 838, 702

The list of prime factors of all numbers are

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 838 are 2 x 419

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

The highest common occurrence is 2¹

Therefore, GCD of 440, 756, 838, 702 is 2.

Given numbers are 440, 756, 838, 702

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

Apply this formula for all numbers.

Step1:

LCM(440, 756) = 83160

GCD(440, 756) = ( 440 x 756 ) / 83160

= 440 / 756

= 440

Step2:

LCM(4, 838) = 1676

GCD(4, 838) = ( 4 x 838 ) / 1676

= 4 / 838

= 4

Step3:

LCM(2, 702) = 702

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

= 2 / 702

= 2

So, Greatest Common Divisor of 440, 756, 838, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 401, 914, 685
• GCD of 168, 588, 976, 430
• GCD of 309, 651, 186, 506
• GCD of 657, 958, 940, 804
• GCD of 926, 189, 140, 418

Given numbers are 440, 756, 838, 702
The greatest common divisor of numbers 440, 756, 838, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 756, 838, 702 is 2.

1. What is the GCD of 440, 756, 838, 702?

GCD of given numbers 440, 756, 838, 702 is 2

2. How to calculate the greatest common divisor of 440, 756, 838, 702?

We can find the highest common divisor of 440, 756, 838, 702 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 440, 756, 838, 702 i.e 2.

3. How can I use the GCD of 440, 756, 838, 702Calculator?

Out the numbers 440, 756, 838, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.