GCD of 674, 980, 900, 106 Calculator

Given Input numbers are 674, 980, 900, 106

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

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 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

GCD of numbers is the greatest common divisor

So, the GCD (674, 980, 900, 106) = 2.

Given numbers are 674, 980, 900, 106

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

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

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 106 are 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 674, 980, 900, 106 is 2.

Given numbers are 674, 980, 900, 106

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

Apply this formula for all numbers.

Step1:

LCM(674, 980) = 330260

GCD(674, 980) = ( 674 x 980 ) / 330260

= 674 / 980

= 674

Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

Step3:

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

= 2 / 106

= 2

So, Greatest Common Divisor of 674, 980, 900, 106 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 331, 351, 378
• GCD of 627, 334, 703, 446
• GCD of 441, 187, 177, 452
• GCD of 611, 428, 314, 100
• GCD of 346, 384, 537, 429

Given numbers are 674, 980, 900, 106
The greatest common divisor of numbers 674, 980, 900, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 980, 900, 106 is 2.

1. What is the GCD of 674, 980, 900, 106?

GCD of given numbers 674, 980, 900, 106 is 2

2. How to calculate the greatest common divisor of 674, 980, 900, 106?

We can find the highest common divisor of 674, 980, 900, 106 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 674, 980, 900, 106 i.e 2.

3. How can I use the GCD of 674, 980, 900, 106Calculator?

Out the numbers 674, 980, 900, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.