GCD of 945, 920, 508, 616 Calculator

Given Input numbers are 945, 920, 508, 616

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (945, 920, 508, 616) = 1.

Given numbers are 945, 920, 508, 616

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 508 are 2 x 2 x 127

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

Given numbers are 945, 920, 508, 616

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

Apply this formula for all numbers.

Step1:

LCM(945, 920) = 173880

GCD(945, 920) = ( 945 x 920 ) / 173880

= 945 / 920

= 945

Step2:

LCM(5, 508) = 2540

GCD(5, 508) = ( 5 x 508 ) / 2540

= 5 / 508

= 5

Step3:

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

= 1 / 616

= 1

So, Greatest Common Divisor of 945, 920, 508, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 224, 177, 543
• GCD of 883, 149, 363, 133
• GCD of 847, 895, 440, 304
• GCD of 470, 579, 104, 518
• GCD of 845, 132, 408, 491

Given numbers are 945, 920, 508, 616
The greatest common divisor of numbers 945, 920, 508, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 920, 508, 616 is 1.

1. What is the GCD of 945, 920, 508, 616?

GCD of given numbers 945, 920, 508, 616 is 1

2. How to calculate the greatest common divisor of 945, 920, 508, 616?

We can find the highest common divisor of 945, 920, 508, 616 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 945, 920, 508, 616 i.e 1.

3. How can I use the GCD of 945, 920, 508, 616Calculator?

Out the numbers 945, 920, 508, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.