GCD of 782, 140, 322, 802 Calculator

Given Input numbers are 782, 140, 322, 802

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 802 :

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

1, 2, 401, 802

GCD of numbers is the greatest common divisor

So, the GCD (782, 140, 322, 802) = 2.

Given numbers are 782, 140, 322, 802

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 322 are 2 x 7 x 23

Prime factors of 802 are 2 x 401

The highest common occurrence is 2¹

Therefore, GCD of 782, 140, 322, 802 is 2.

Given numbers are 782, 140, 322, 802

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

Apply this formula for all numbers.

Step1:

LCM(782, 140) = 54740

GCD(782, 140) = ( 782 x 140 ) / 54740

= 782 / 140

= 782

Step2:

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

= 2 / 322

= 2

Step3:

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

= 2 / 802

= 2

So, Greatest Common Divisor of 782, 140, 322, 802 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 454, 689, 239
• GCD of 252, 893, 448, 256
• GCD of 290, 703, 571, 236
• GCD of 288, 807, 203, 577
• GCD of 424, 405, 172, 841

Given numbers are 782, 140, 322, 802
The greatest common divisor of numbers 782, 140, 322, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 140, 322, 802 is 2.

1. What is the GCD of 782, 140, 322, 802?

GCD of given numbers 782, 140, 322, 802 is 2

2. How to calculate the greatest common divisor of 782, 140, 322, 802?

We can find the highest common divisor of 782, 140, 322, 802 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 782, 140, 322, 802 i.e 2.

3. How can I use the GCD of 782, 140, 322, 802Calculator?

Out the numbers 782, 140, 322, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.