GCD of 920, 652, 746, 986 Calculator

Given Input numbers are 920, 652, 746, 986

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

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 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (920, 652, 746, 986) = 2.

Given numbers are 920, 652, 746, 986

The list of prime factors of all numbers are

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

Prime factors of 652 are 2 x 2 x 163

Prime factors of 746 are 2 x 373

Prime factors of 986 are 2 x 17 x 29

The highest common occurrence is 2¹

Therefore, GCD of 920, 652, 746, 986 is 2.

Given numbers are 920, 652, 746, 986

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

Apply this formula for all numbers.

Step1:

LCM(920, 652) = 149960

GCD(920, 652) = ( 920 x 652 ) / 149960

= 920 / 652

= 920

Step2:

LCM(4, 746) = 1492

GCD(4, 746) = ( 4 x 746 ) / 1492

= 4 / 746

= 4

Step3:

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

= 2 / 986

= 2

So, Greatest Common Divisor of 920, 652, 746, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 962, 125, 347
• GCD of 680, 499, 577, 119
• GCD of 282, 722, 919, 283
• GCD of 986, 363, 183, 500
• GCD of 255, 173, 406, 710

Given numbers are 920, 652, 746, 986
The greatest common divisor of numbers 920, 652, 746, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 652, 746, 986 is 2.

1. What is the GCD of 920, 652, 746, 986?

GCD of given numbers 920, 652, 746, 986 is 2

2. How to calculate the greatest common divisor of 920, 652, 746, 986?

We can find the highest common divisor of 920, 652, 746, 986 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 920, 652, 746, 986 i.e 2.

3. How can I use the GCD of 920, 652, 746, 986Calculator?

Out the numbers 920, 652, 746, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.