GCD of 748, 689, 988, 420 Calculator

Given Input numbers are 748, 689, 988, 420

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (748, 689, 988, 420) = 1.

Given numbers are 748, 689, 988, 420

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 689 are 13 x 53

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 748, 689, 988, 420

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

Apply this formula for all numbers.

Step1:

LCM(748, 689) = 515372

GCD(748, 689) = ( 748 x 689 ) / 515372

= 748 / 689

= 748

Step2:

LCM(1, 988) = 988

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

= 1 / 988

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 748, 689, 988, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 430, 733, 539
• GCD of 706, 462, 733, 751
• GCD of 794, 328, 810, 338
• GCD of 158, 929, 672, 878
• GCD of 108, 106, 627, 693

Given numbers are 748, 689, 988, 420
The greatest common divisor of numbers 748, 689, 988, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 689, 988, 420 is 1.

1. What is the GCD of 748, 689, 988, 420?

GCD of given numbers 748, 689, 988, 420 is 1

2. How to calculate the greatest common divisor of 748, 689, 988, 420?

We can find the highest common divisor of 748, 689, 988, 420 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 748, 689, 988, 420 i.e 1.

3. How can I use the GCD of 748, 689, 988, 420Calculator?

Out the numbers 748, 689, 988, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.