GCD of 312, 765, 783, 702 Calculator

Given Input numbers are 312, 765, 783, 702

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 783 :

The positive integer divisors of 783 that completely divides 783 are.

1, 3, 9, 27, 29, 87, 261, 783

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 (312, 765, 783, 702) = 3.

Given numbers are 312, 765, 783, 702

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 783 are 3 x 3 x 3 x 29

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

The highest common occurrence is 3¹

Therefore, GCD of 312, 765, 783, 702 is 3.

Given numbers are 312, 765, 783, 702

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

Apply this formula for all numbers.

Step1:

LCM(312, 765) = 79560

GCD(312, 765) = ( 312 x 765 ) / 79560

= 312 / 765

= 312

Step2:

LCM(3, 783) = 783

GCD(3, 783) = ( 3 x 783 ) / 783

= 3 / 783

= 3

Step3:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

So, Greatest Common Divisor of 312, 765, 783, 702 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 696, 981, 160
• GCD of 331, 205, 901, 826
• GCD of 689, 699, 780, 781
• GCD of 112, 538, 351, 309
• GCD of 633, 550, 590, 293

Given numbers are 312, 765, 783, 702
The greatest common divisor of numbers 312, 765, 783, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 765, 783, 702 is 3.

1. What is the GCD of 312, 765, 783, 702?

GCD of given numbers 312, 765, 783, 702 is 3

2. How to calculate the greatest common divisor of 312, 765, 783, 702?

We can find the highest common divisor of 312, 765, 783, 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 312, 765, 783, 702 i.e 3.

3. How can I use the GCD of 312, 765, 783, 702Calculator?

Out the numbers 312, 765, 783, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.