GCD of 477, 117, 762, 993 Calculator

Given Input numbers are 477, 117, 762, 993

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

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 762 :

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

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

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (477, 117, 762, 993) = 3.

Given numbers are 477, 117, 762, 993

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 117 are 3 x 3 x 13

Prime factors of 762 are 2 x 3 x 127

Prime factors of 993 are 3 x 331

The highest common occurrence is 3¹

Therefore, GCD of 477, 117, 762, 993 is 3.

Given numbers are 477, 117, 762, 993

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

Apply this formula for all numbers.

Step1:

LCM(477, 117) = 6201

GCD(477, 117) = ( 477 x 117 ) / 6201

= 477 / 117

= 477

Step2:

LCM(9, 762) = 2286

GCD(9, 762) = ( 9 x 762 ) / 2286

= 9 / 762

= 9

Step3:

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

= 3 / 993

= 3

So, Greatest Common Divisor of 477, 117, 762, 993 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 188, 238, 689
• GCD of 177, 799, 276, 782
• GCD of 103, 621, 689, 497
• GCD of 785, 175, 654, 110
• GCD of 264, 396, 566, 394

Given numbers are 477, 117, 762, 993
The greatest common divisor of numbers 477, 117, 762, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 117, 762, 993 is 3.

1. What is the GCD of 477, 117, 762, 993?

GCD of given numbers 477, 117, 762, 993 is 3

2. How to calculate the greatest common divisor of 477, 117, 762, 993?

We can find the highest common divisor of 477, 117, 762, 993 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 477, 117, 762, 993 i.e 3.

3. How can I use the GCD of 477, 117, 762, 993Calculator?

Out the numbers 477, 117, 762, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.