GCD of 986, 548, 120, 100 Calculator

Given Input numbers are 986, 548, 120, 100

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

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (986, 548, 120, 100) = 2.

Given numbers are 986, 548, 120, 100

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 548 are 2 x 2 x 137

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 100 are 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 986, 548, 120, 100 is 2.

Given numbers are 986, 548, 120, 100

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

Apply this formula for all numbers.

Step1:

LCM(986, 548) = 270164

GCD(986, 548) = ( 986 x 548 ) / 270164

= 986 / 548

= 986

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

So, Greatest Common Divisor of 986, 548, 120, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 577, 867, 346
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Given numbers are 986, 548, 120, 100
The greatest common divisor of numbers 986, 548, 120, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 548, 120, 100 is 2.

1. What is the GCD of 986, 548, 120, 100?

GCD of given numbers 986, 548, 120, 100 is 2

2. How to calculate the greatest common divisor of 986, 548, 120, 100?

We can find the highest common divisor of 986, 548, 120, 100 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 986, 548, 120, 100 i.e 2.

3. How can I use the GCD of 986, 548, 120, 100Calculator?

Out the numbers 986, 548, 120, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.