GCD of 498, 460, 766, 794 Calculator

Given Input numbers are 498, 460, 766, 794

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

GCD of numbers is the greatest common divisor

So, the GCD (498, 460, 766, 794) = 2.

Given numbers are 498, 460, 766, 794

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 766 are 2 x 383

Prime factors of 794 are 2 x 397

The highest common occurrence is 2¹

Therefore, GCD of 498, 460, 766, 794 is 2.

Given numbers are 498, 460, 766, 794

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

Apply this formula for all numbers.

Step1:

LCM(498, 460) = 114540

GCD(498, 460) = ( 498 x 460 ) / 114540

= 498 / 460

= 498

Step2:

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

= 2 / 766

= 2

Step3:

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

= 2 / 794

= 2

So, Greatest Common Divisor of 498, 460, 766, 794 is 2

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• GCD of 729, 939, 240, 927
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Given numbers are 498, 460, 766, 794
The greatest common divisor of numbers 498, 460, 766, 794 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 460, 766, 794 is 2.

1. What is the GCD of 498, 460, 766, 794?

GCD of given numbers 498, 460, 766, 794 is 2

2. How to calculate the greatest common divisor of 498, 460, 766, 794?

We can find the highest common divisor of 498, 460, 766, 794 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 498, 460, 766, 794 i.e 2.

3. How can I use the GCD of 498, 460, 766, 794Calculator?

Out the numbers 498, 460, 766, 794 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.