GCD of 762, 954, 988, 600 Calculator

Given Input numbers are 762, 954, 988, 600

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 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (762, 954, 988, 600) = 2.

Given numbers are 762, 954, 988, 600

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 762, 954, 988, 600 is 2.

Given numbers are 762, 954, 988, 600

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

Apply this formula for all numbers.

Step1:

LCM(762, 954) = 121158

GCD(762, 954) = ( 762 x 954 ) / 121158

= 762 / 954

= 762

Step2:

LCM(6, 988) = 2964

GCD(6, 988) = ( 6 x 988 ) / 2964

= 6 / 988

= 6

Step3:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

So, Greatest Common Divisor of 762, 954, 988, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 168, 929, 758
• GCD of 169, 744, 440, 132
• GCD of 192, 113, 839, 172
• GCD of 222, 338, 509, 506
• GCD of 664, 609, 348, 697

Given numbers are 762, 954, 988, 600
The greatest common divisor of numbers 762, 954, 988, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 954, 988, 600 is 2.

1. What is the GCD of 762, 954, 988, 600?

GCD of given numbers 762, 954, 988, 600 is 2

2. How to calculate the greatest common divisor of 762, 954, 988, 600?

We can find the highest common divisor of 762, 954, 988, 600 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, 954, 988, 600 i.e 2.

3. How can I use the GCD of 762, 954, 988, 600Calculator?

Out the numbers 762, 954, 988, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.