GCD of 980, 274, 16 Calculator

Given Input numbers are 980, 274, 16

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

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 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 16 :

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

1, 2, 4, 8, 16

GCD of numbers is the greatest common divisor

So, the GCD (980, 274, 16) = 2.

Given numbers are 980, 274, 16

The list of prime factors of all numbers are

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

Prime factors of 274 are 2 x 137

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

The highest common occurrence is 2¹

Therefore, GCD of 980, 274, 16 is 2.

Given numbers are 980, 274, 16

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

Apply this formula for all numbers.

Step1:

LCM(980, 274) = 134260

GCD(980, 274) = ( 980 x 274 ) / 134260

= 980 / 274

= 980

Step2:

LCM(2, 16) = 16

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

= 2 / 16

= 2

So, Greatest Common Divisor of 980, 274, 16 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 105, 95
• GCD of 438, 517, 97
• GCD of 193, 784, 74
• GCD of 794, 398, 19
• GCD of 435, 346, 60

Given numbers are 980, 274, 16
The greatest common divisor of numbers 980, 274, 16 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 274, 16 is 2.

1. What is the GCD of 980, 274, 16?

GCD of given numbers 980, 274, 16 is 2

2. How to calculate the greatest common divisor of 980, 274, 16?

We can find the highest common divisor of 980, 274, 16 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 980, 274, 16 i.e 2.

3. How can I use the GCD of 980, 274, 16Calculator?

Out the numbers 980, 274, 16 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.