GCD of 109, 753, 608, 988 Calculator

Given Input numbers are 109, 753, 608, 988

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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

GCD of numbers is the greatest common divisor

So, the GCD (109, 753, 608, 988) = 1.

Given numbers are 109, 753, 608, 988

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 753 are 3 x 251

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 109, 753, 608, 988

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

Apply this formula for all numbers.

Step1:

LCM(109, 753) = 82077

GCD(109, 753) = ( 109 x 753 ) / 82077

= 109 / 753

= 109

Step2:

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

= 1 / 608

= 1

Step3:

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

= 1 / 988

= 1

So, Greatest Common Divisor of 109, 753, 608, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 672, 234, 808
• GCD of 845, 356, 506, 399
• GCD of 670, 871, 972, 786
• GCD of 760, 729, 363, 427
• GCD of 261, 980, 912, 735

Given numbers are 109, 753, 608, 988
The greatest common divisor of numbers 109, 753, 608, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 753, 608, 988 is 1.

1. What is the GCD of 109, 753, 608, 988?

GCD of given numbers 109, 753, 608, 988 is 1

2. How to calculate the greatest common divisor of 109, 753, 608, 988?

We can find the highest common divisor of 109, 753, 608, 988 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 109, 753, 608, 988 i.e 1.

3. How can I use the GCD of 109, 753, 608, 988Calculator?

Out the numbers 109, 753, 608, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.