GCD of 208, 988, 612, 140 Calculator

Given Input numbers are 208, 988, 612, 140

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (208, 988, 612, 140) = 4.

Given numbers are 208, 988, 612, 140

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 2²

Therefore, GCD of 208, 988, 612, 140 is 4.

Given numbers are 208, 988, 612, 140

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

Apply this formula for all numbers.

Step1:

LCM(208, 988) = 3952

GCD(208, 988) = ( 208 x 988 ) / 3952

= 208 / 988

= 208

Step2:

LCM(52, 612) = 7956

GCD(52, 612) = ( 52 x 612 ) / 7956

= 52 / 612

= 52

Step3:

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

= 4 / 140

= 4

So, Greatest Common Divisor of 208, 988, 612, 140 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 101, 886, 317
• GCD of 230, 384, 229, 790
• GCD of 620, 705, 468, 503
• GCD of 267, 501, 372, 634
• GCD of 139, 384, 718, 641

Given numbers are 208, 988, 612, 140
The greatest common divisor of numbers 208, 988, 612, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 988, 612, 140 is 4.

1. What is the GCD of 208, 988, 612, 140?

GCD of given numbers 208, 988, 612, 140 is 4

2. How to calculate the greatest common divisor of 208, 988, 612, 140?

We can find the highest common divisor of 208, 988, 612, 140 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 208, 988, 612, 140 i.e 4.

3. How can I use the GCD of 208, 988, 612, 140Calculator?

Out the numbers 208, 988, 612, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.