GCD of 954, 126, 984, 752 Calculator

Given Input numbers are 954, 126, 984, 752

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

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 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

GCD of numbers is the greatest common divisor

So, the GCD (954, 126, 984, 752) = 2.

Given numbers are 954, 126, 984, 752

The list of prime factors of all numbers are

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

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 954, 126, 984, 752 is 2.

Given numbers are 954, 126, 984, 752

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

Apply this formula for all numbers.

Step1:

LCM(954, 126) = 6678

GCD(954, 126) = ( 954 x 126 ) / 6678

= 954 / 126

= 954

Step2:

LCM(18, 984) = 2952

GCD(18, 984) = ( 18 x 984 ) / 2952

= 18 / 984

= 18

Step3:

LCM(6, 752) = 2256

GCD(6, 752) = ( 6 x 752 ) / 2256

= 6 / 752

= 6

So, Greatest Common Divisor of 954, 126, 984, 752 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 190, 812, 347
• GCD of 284, 209, 295, 725
• GCD of 798, 125, 188, 542
• GCD of 807, 161, 807, 253
• GCD of 456, 943, 363, 691

Given numbers are 954, 126, 984, 752
The greatest common divisor of numbers 954, 126, 984, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 126, 984, 752 is 2.

1. What is the GCD of 954, 126, 984, 752?

GCD of given numbers 954, 126, 984, 752 is 2

2. How to calculate the greatest common divisor of 954, 126, 984, 752?

We can find the highest common divisor of 954, 126, 984, 752 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 954, 126, 984, 752 i.e 2.

3. How can I use the GCD of 954, 126, 984, 752Calculator?

Out the numbers 954, 126, 984, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.