GCD of 820, 235, 755, 680 Calculator

Given Input numbers are 820, 235, 755, 680

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (820, 235, 755, 680) = 5.

Given numbers are 820, 235, 755, 680

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 235 are 5 x 47

Prime factors of 755 are 5 x 151

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

The highest common occurrence is 5¹

Therefore, GCD of 820, 235, 755, 680 is 5.

Given numbers are 820, 235, 755, 680

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

Apply this formula for all numbers.

Step1:

LCM(820, 235) = 38540

GCD(820, 235) = ( 820 x 235 ) / 38540

= 820 / 235

= 820

Step2:

LCM(5, 755) = 755

GCD(5, 755) = ( 5 x 755 ) / 755

= 5 / 755

= 5

Step3:

LCM(5, 680) = 680

GCD(5, 680) = ( 5 x 680 ) / 680

= 5 / 680

= 5

So, Greatest Common Divisor of 820, 235, 755, 680 is 5

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• GCD of 397, 559, 661, 951
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Given numbers are 820, 235, 755, 680
The greatest common divisor of numbers 820, 235, 755, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 235, 755, 680 is 5.

1. What is the GCD of 820, 235, 755, 680?

GCD of given numbers 820, 235, 755, 680 is 5

2. How to calculate the greatest common divisor of 820, 235, 755, 680?

We can find the highest common divisor of 820, 235, 755, 680 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 820, 235, 755, 680 i.e 5.

3. How can I use the GCD of 820, 235, 755, 680Calculator?

Out the numbers 820, 235, 755, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.