GCD of 944, 706, 144, 980 Calculator

Given Input numbers are 944, 706, 144, 980

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

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

GCD of numbers is the greatest common divisor

So, the GCD (944, 706, 144, 980) = 2.

Given numbers are 944, 706, 144, 980

The list of prime factors of all numbers are

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

Prime factors of 706 are 2 x 353

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 944, 706, 144, 980 is 2.

Given numbers are 944, 706, 144, 980

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

Apply this formula for all numbers.

Step1:

LCM(944, 706) = 333232

GCD(944, 706) = ( 944 x 706 ) / 333232

= 944 / 706

= 944

Step2:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

Step3:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

So, Greatest Common Divisor of 944, 706, 144, 980 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 872, 275, 305
• GCD of 630, 962, 116, 398
• GCD of 522, 556, 605, 202
• GCD of 529, 912, 648, 256
• GCD of 130, 717, 834, 177

Given numbers are 944, 706, 144, 980
The greatest common divisor of numbers 944, 706, 144, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 944, 706, 144, 980 is 2.

1. What is the GCD of 944, 706, 144, 980?

GCD of given numbers 944, 706, 144, 980 is 2

2. How to calculate the greatest common divisor of 944, 706, 144, 980?

We can find the highest common divisor of 944, 706, 144, 980 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 944, 706, 144, 980 i.e 2.

3. How can I use the GCD of 944, 706, 144, 980Calculator?

Out the numbers 944, 706, 144, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.