GCD of 846, 501, 558, 738 Calculator

Given Input numbers are 846, 501, 558, 738

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

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (846, 501, 558, 738) = 3.

Given numbers are 846, 501, 558, 738

The list of prime factors of all numbers are

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 501 are 3 x 167

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 738 are 2 x 3 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 846, 501, 558, 738 is 3.

Given numbers are 846, 501, 558, 738

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

Apply this formula for all numbers.

Step1:

LCM(846, 501) = 141282

GCD(846, 501) = ( 846 x 501 ) / 141282

= 846 / 501

= 846

Step2:

LCM(3, 558) = 558

GCD(3, 558) = ( 3 x 558 ) / 558

= 3 / 558

= 3

Step3:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

So, Greatest Common Divisor of 846, 501, 558, 738 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 839, 564, 848
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• GCD of 841, 302, 924, 876
• GCD of 800, 183, 427, 704
• GCD of 121, 957, 648, 967

Given numbers are 846, 501, 558, 738
The greatest common divisor of numbers 846, 501, 558, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 846, 501, 558, 738 is 3.

1. What is the GCD of 846, 501, 558, 738?

GCD of given numbers 846, 501, 558, 738 is 3

2. How to calculate the greatest common divisor of 846, 501, 558, 738?

We can find the highest common divisor of 846, 501, 558, 738 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 846, 501, 558, 738 i.e 3.

3. How can I use the GCD of 846, 501, 558, 738Calculator?

Out the numbers 846, 501, 558, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.