GCD of 854, 980, 28 Calculator

Given Input numbers are 854, 980, 28

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

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 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

GCD of numbers is the greatest common divisor

So, the GCD (854, 980, 28) = 14.

Given numbers are 854, 980, 28

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

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

Prime factors of 28 are 2 x 2 x 7

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 854, 980, 28 is 14.

Given numbers are 854, 980, 28

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

Apply this formula for all numbers.

Step1:

LCM(854, 980) = 59780

GCD(854, 980) = ( 854 x 980 ) / 59780

= 854 / 980

= 854

Step2:

LCM(14, 28) = 28

GCD(14, 28) = ( 14 x 28 ) / 28

= 14 / 28

= 14

So, Greatest Common Divisor of 854, 980, 28 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 260, 88
• GCD of 927, 148, 55
• GCD of 943, 410, 20
• GCD of 113, 706, 34
• GCD of 780, 866, 54

Given numbers are 854, 980, 28
The greatest common divisor of numbers 854, 980, 28 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 980, 28 is 14.

1. What is the GCD of 854, 980, 28?

GCD of given numbers 854, 980, 28 is 14

2. How to calculate the greatest common divisor of 854, 980, 28?

We can find the highest common divisor of 854, 980, 28 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 854, 980, 28 i.e 14.

3. How can I use the GCD of 854, 980, 28Calculator?

Out the numbers 854, 980, 28 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.