GCD of 920, 360, 614, 620 Calculator

Given Input numbers are 920, 360, 614, 620

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

GCD of numbers is the greatest common divisor

So, the GCD (920, 360, 614, 620) = 2.

Given numbers are 920, 360, 614, 620

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 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 614 are 2 x 307

Prime factors of 620 are 2 x 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 920, 360, 614, 620 is 2.

Given numbers are 920, 360, 614, 620

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

Apply this formula for all numbers.

Step1:

LCM(920, 360) = 8280

GCD(920, 360) = ( 920 x 360 ) / 8280

= 920 / 360

= 920

Step2:

LCM(40, 614) = 12280

GCD(40, 614) = ( 40 x 614 ) / 12280

= 40 / 614

= 40

Step3:

LCM(2, 620) = 620

GCD(2, 620) = ( 2 x 620 ) / 620

= 2 / 620

= 2

So, Greatest Common Divisor of 920, 360, 614, 620 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 899, 347, 561
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• GCD of 198, 216, 726, 313
• GCD of 561, 579, 354, 617
• GCD of 948, 607, 927, 281

Given numbers are 920, 360, 614, 620
The greatest common divisor of numbers 920, 360, 614, 620 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 360, 614, 620 is 2.

1. What is the GCD of 920, 360, 614, 620?

GCD of given numbers 920, 360, 614, 620 is 2

2. How to calculate the greatest common divisor of 920, 360, 614, 620?

We can find the highest common divisor of 920, 360, 614, 620 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, 360, 614, 620 i.e 2.

3. How can I use the GCD of 920, 360, 614, 620Calculator?

Out the numbers 920, 360, 614, 620 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.