GCD of 520, 314, 840, 196 Calculator

Given Input numbers are 520, 314, 840, 196

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

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

GCD of numbers is the greatest common divisor

So, the GCD (520, 314, 840, 196) = 2.

Given numbers are 520, 314, 840, 196

The list of prime factors of all numbers are

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

Prime factors of 314 are 2 x 157

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 196 are 2 x 2 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 520, 314, 840, 196 is 2.

Given numbers are 520, 314, 840, 196

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

Apply this formula for all numbers.

Step1:

LCM(520, 314) = 81640

GCD(520, 314) = ( 520 x 314 ) / 81640

= 520 / 314

= 520

Step2:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2

Step3:

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

= 2 / 196

= 2

So, Greatest Common Divisor of 520, 314, 840, 196 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 885, 276, 398
• GCD of 896, 620, 337, 944
• GCD of 329, 198, 822, 744
• GCD of 747, 680, 783, 899
• GCD of 297, 145, 163, 499

Given numbers are 520, 314, 840, 196
The greatest common divisor of numbers 520, 314, 840, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 314, 840, 196 is 2.

1. What is the GCD of 520, 314, 840, 196?

GCD of given numbers 520, 314, 840, 196 is 2

2. How to calculate the greatest common divisor of 520, 314, 840, 196?

We can find the highest common divisor of 520, 314, 840, 196 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 520, 314, 840, 196 i.e 2.

3. How can I use the GCD of 520, 314, 840, 196Calculator?

Out the numbers 520, 314, 840, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.