GCD of 762, 990, 375, 543 Calculator

Given Input numbers are 762, 990, 375, 543

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

GCD of numbers is the greatest common divisor

So, the GCD (762, 990, 375, 543) = 3.

Given numbers are 762, 990, 375, 543

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 543 are 3 x 181

The highest common occurrence is 3¹

Therefore, GCD of 762, 990, 375, 543 is 3.

Given numbers are 762, 990, 375, 543

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

Apply this formula for all numbers.

Step1:

LCM(762, 990) = 125730

GCD(762, 990) = ( 762 x 990 ) / 125730

= 762 / 990

= 762

Step2:

LCM(6, 375) = 750

GCD(6, 375) = ( 6 x 375 ) / 750

= 6 / 375

= 6

Step3:

LCM(3, 543) = 543

GCD(3, 543) = ( 3 x 543 ) / 543

= 3 / 543

= 3

So, Greatest Common Divisor of 762, 990, 375, 543 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 413, 212, 509
• GCD of 852, 456, 302, 827
• GCD of 354, 770, 393, 417
• GCD of 770, 687, 853, 209
• GCD of 530, 159, 419, 196

Given numbers are 762, 990, 375, 543
The greatest common divisor of numbers 762, 990, 375, 543 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 990, 375, 543 is 3.

1. What is the GCD of 762, 990, 375, 543?

GCD of given numbers 762, 990, 375, 543 is 3

2. How to calculate the greatest common divisor of 762, 990, 375, 543?

We can find the highest common divisor of 762, 990, 375, 543 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 762, 990, 375, 543 i.e 3.

3. How can I use the GCD of 762, 990, 375, 543Calculator?

Out the numbers 762, 990, 375, 543 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.