GCD of 782, 718, 916, 350 Calculator

Given Input numbers are 782, 718, 916, 350

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 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (782, 718, 916, 350) = 2.

Given numbers are 782, 718, 916, 350

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 718 are 2 x 359

Prime factors of 916 are 2 x 2 x 229

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 782, 718, 916, 350 is 2.

Given numbers are 782, 718, 916, 350

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

Apply this formula for all numbers.

Step1:

LCM(782, 718) = 280738

GCD(782, 718) = ( 782 x 718 ) / 280738

= 782 / 718

= 782

Step2:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

Step3:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

So, Greatest Common Divisor of 782, 718, 916, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 207, 395, 894
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Given numbers are 782, 718, 916, 350
The greatest common divisor of numbers 782, 718, 916, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 718, 916, 350 is 2.

1. What is the GCD of 782, 718, 916, 350?

GCD of given numbers 782, 718, 916, 350 is 2

2. How to calculate the greatest common divisor of 782, 718, 916, 350?

We can find the highest common divisor of 782, 718, 916, 350 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, 718, 916, 350 i.e 2.

3. How can I use the GCD of 782, 718, 916, 350Calculator?

Out the numbers 782, 718, 916, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.