GCD of 735, 915, 820, 548 Calculator

Given Input numbers are 735, 915, 820, 548

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

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 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

GCD of numbers is the greatest common divisor

So, the GCD (735, 915, 820, 548) = 1.

Given numbers are 735, 915, 820, 548

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 915 are 3 x 5 x 61

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

Prime factors of 548 are 2 x 2 x 137

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 735, 915, 820, 548

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

Apply this formula for all numbers.

Step1:

LCM(735, 915) = 44835

GCD(735, 915) = ( 735 x 915 ) / 44835

= 735 / 915

= 735

Step2:

LCM(15, 820) = 2460

GCD(15, 820) = ( 15 x 820 ) / 2460

= 15 / 820

= 15

Step3:

LCM(5, 548) = 2740

GCD(5, 548) = ( 5 x 548 ) / 2740

= 5 / 548

= 5

So, Greatest Common Divisor of 735, 915, 820, 548 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 804, 787, 165
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• GCD of 807, 282, 115, 365

Given numbers are 735, 915, 820, 548
The greatest common divisor of numbers 735, 915, 820, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 915, 820, 548 is 1.

1. What is the GCD of 735, 915, 820, 548?

GCD of given numbers 735, 915, 820, 548 is 1

2. How to calculate the greatest common divisor of 735, 915, 820, 548?

We can find the highest common divisor of 735, 915, 820, 548 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 735, 915, 820, 548 i.e 1.

3. How can I use the GCD of 735, 915, 820, 548Calculator?

Out the numbers 735, 915, 820, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.