GCD of 782, 310, 726, 198 Calculator

Given Input numbers are 782, 310, 726, 198

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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (782, 310, 726, 198) = 2.

Given numbers are 782, 310, 726, 198

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 310 are 2 x 5 x 31

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 198 are 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 782, 310, 726, 198 is 2.

Given numbers are 782, 310, 726, 198

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

Apply this formula for all numbers.

Step1:

LCM(782, 310) = 121210

GCD(782, 310) = ( 782 x 310 ) / 121210

= 782 / 310

= 782

Step2:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

Step3:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

So, Greatest Common Divisor of 782, 310, 726, 198 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 696, 407, 733
• GCD of 623, 252, 672, 939
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• GCD of 552, 187, 539, 535
• GCD of 228, 386, 385, 579

Given numbers are 782, 310, 726, 198
The greatest common divisor of numbers 782, 310, 726, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 310, 726, 198 is 2.

1. What is the GCD of 782, 310, 726, 198?

GCD of given numbers 782, 310, 726, 198 is 2

2. How to calculate the greatest common divisor of 782, 310, 726, 198?

We can find the highest common divisor of 782, 310, 726, 198 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, 310, 726, 198 i.e 2.

3. How can I use the GCD of 782, 310, 726, 198Calculator?

Out the numbers 782, 310, 726, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.