GCD of 665, 916, 420, 748 Calculator

Given Input numbers are 665, 916, 420, 748

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

Divisors of 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

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

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

GCD of numbers is the greatest common divisor

So, the GCD (665, 916, 420, 748) = 1.

Given numbers are 665, 916, 420, 748

The list of prime factors of all numbers are

Prime factors of 665 are 5 x 7 x 19

Prime factors of 916 are 2 x 2 x 229

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

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

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

Given numbers are 665, 916, 420, 748

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

Apply this formula for all numbers.

Step1:

LCM(665, 916) = 609140

GCD(665, 916) = ( 665 x 916 ) / 609140

= 665 / 916

= 665

Step2:

LCM(1, 420) = 420

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

= 1 / 420

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 665, 916, 420, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 389, 152, 863
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• GCD of 961, 240, 550, 171
• GCD of 234, 920, 131, 536

Given numbers are 665, 916, 420, 748
The greatest common divisor of numbers 665, 916, 420, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 665, 916, 420, 748 is 1.

1. What is the GCD of 665, 916, 420, 748?

GCD of given numbers 665, 916, 420, 748 is 1

2. How to calculate the greatest common divisor of 665, 916, 420, 748?

We can find the highest common divisor of 665, 916, 420, 748 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 665, 916, 420, 748 i.e 1.

3. How can I use the GCD of 665, 916, 420, 748Calculator?

Out the numbers 665, 916, 420, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.