GCD of 126, 922, 16, 760 Calculator

Given Input numbers are 126, 922, 16, 760

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

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 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (126, 922, 16, 760) = 2.

Given numbers are 126, 922, 16, 760

The list of prime factors of all numbers are

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

Prime factors of 922 are 2 x 461

Prime factors of 16 are 2 x 2 x 2 x 2

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 126, 922, 16, 760 is 2.

Given numbers are 126, 922, 16, 760

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

Apply this formula for all numbers.

Step1:

LCM(126, 922) = 58086

GCD(126, 922) = ( 126 x 922 ) / 58086

= 126 / 922

= 126

Step2:

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

= 2 / 16

= 2

Step3:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2

So, Greatest Common Divisor of 126, 922, 16, 760 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 273, 86, 355
• GCD of 448, 398, 32, 584
• GCD of 929, 389, 38, 981
• GCD of 712, 131, 61, 198
• GCD of 391, 196, 74, 762

Given numbers are 126, 922, 16, 760
The greatest common divisor of numbers 126, 922, 16, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 922, 16, 760 is 2.

1. What is the GCD of 126, 922, 16, 760?

GCD of given numbers 126, 922, 16, 760 is 2

2. How to calculate the greatest common divisor of 126, 922, 16, 760?

We can find the highest common divisor of 126, 922, 16, 760 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 126, 922, 16, 760 i.e 2.

3. How can I use the GCD of 126, 922, 16, 760Calculator?

Out the numbers 126, 922, 16, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.