GCD of 120, 838, 614, 520 Calculator

Given Input numbers are 120, 838, 614, 520

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 614 :

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

1, 2, 307, 614

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

GCD of numbers is the greatest common divisor

So, the GCD (120, 838, 614, 520) = 2.

Given numbers are 120, 838, 614, 520

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 838 are 2 x 419

Prime factors of 614 are 2 x 307

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 120, 838, 614, 520 is 2.

Given numbers are 120, 838, 614, 520

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

Apply this formula for all numbers.

Step1:

LCM(120, 838) = 50280

GCD(120, 838) = ( 120 x 838 ) / 50280

= 120 / 838

= 120

Step2:

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

= 2 / 614

= 2

Step3:

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

= 2 / 520

= 2

So, Greatest Common Divisor of 120, 838, 614, 520 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 359, 477, 468, 782
• GCD of 634, 261, 661, 127
• GCD of 101, 136, 222, 109
• GCD of 763, 259, 970, 915
• GCD of 797, 191, 373, 224

Given numbers are 120, 838, 614, 520
The greatest common divisor of numbers 120, 838, 614, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 838, 614, 520 is 2.

1. What is the GCD of 120, 838, 614, 520?

GCD of given numbers 120, 838, 614, 520 is 2

2. How to calculate the greatest common divisor of 120, 838, 614, 520?

We can find the highest common divisor of 120, 838, 614, 520 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 120, 838, 614, 520 i.e 2.

3. How can I use the GCD of 120, 838, 614, 520Calculator?

Out the numbers 120, 838, 614, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.