GCD of 840, 310, 130, 595 Calculator

Given Input numbers are 840, 310, 130, 595

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

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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 595 :

The positive integer divisors of 595 that completely divides 595 are.

1, 5, 7, 17, 35, 85, 119, 595

GCD of numbers is the greatest common divisor

So, the GCD (840, 310, 130, 595) = 5.

Given numbers are 840, 310, 130, 595

The list of prime factors of all numbers are

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

Prime factors of 310 are 2 x 5 x 31

Prime factors of 130 are 2 x 5 x 13

Prime factors of 595 are 5 x 7 x 17

The highest common occurrence is 5¹

Therefore, GCD of 840, 310, 130, 595 is 5.

Given numbers are 840, 310, 130, 595

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

Apply this formula for all numbers.

Step1:

LCM(840, 310) = 26040

GCD(840, 310) = ( 840 x 310 ) / 26040

= 840 / 310

= 840

Step2:

LCM(10, 130) = 130

GCD(10, 130) = ( 10 x 130 ) / 130

= 10 / 130

= 10

Step3:

LCM(10, 595) = 1190

GCD(10, 595) = ( 10 x 595 ) / 1190

= 10 / 595

= 10

So, Greatest Common Divisor of 840, 310, 130, 595 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 802, 839, 637
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• GCD of 786, 968, 917, 806

Given numbers are 840, 310, 130, 595
The greatest common divisor of numbers 840, 310, 130, 595 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 310, 130, 595 is 5.

1. What is the GCD of 840, 310, 130, 595?

GCD of given numbers 840, 310, 130, 595 is 5

2. How to calculate the greatest common divisor of 840, 310, 130, 595?

We can find the highest common divisor of 840, 310, 130, 595 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 840, 310, 130, 595 i.e 5.

3. How can I use the GCD of 840, 310, 130, 595Calculator?

Out the numbers 840, 310, 130, 595 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.