GCD of 126, 980, 612, 774 Calculator

Given Input numbers are 126, 980, 612, 774

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 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

GCD of numbers is the greatest common divisor

So, the GCD (126, 980, 612, 774) = 2.

Given numbers are 126, 980, 612, 774

The list of prime factors of all numbers are

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

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 774 are 2 x 3 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 126, 980, 612, 774 is 2.

Given numbers are 126, 980, 612, 774

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

Apply this formula for all numbers.

Step1:

LCM(126, 980) = 8820

GCD(126, 980) = ( 126 x 980 ) / 8820

= 126 / 980

= 126

Step2:

LCM(14, 612) = 4284

GCD(14, 612) = ( 14 x 612 ) / 4284

= 14 / 612

= 14

Step3:

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

= 2 / 774

= 2

So, Greatest Common Divisor of 126, 980, 612, 774 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 475, 114, 659
• GCD of 400, 425, 380, 136
• GCD of 580, 776, 732, 933
• GCD of 105, 588, 866, 186
• GCD of 812, 749, 473, 352

Given numbers are 126, 980, 612, 774
The greatest common divisor of numbers 126, 980, 612, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 980, 612, 774 is 2.

1. What is the GCD of 126, 980, 612, 774?

GCD of given numbers 126, 980, 612, 774 is 2

2. How to calculate the greatest common divisor of 126, 980, 612, 774?

We can find the highest common divisor of 126, 980, 612, 774 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, 980, 612, 774 i.e 2.

3. How can I use the GCD of 126, 980, 612, 774Calculator?

Out the numbers 126, 980, 612, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.