GCD of 735, 755, 347, 828 Calculator

Given Input numbers are 735, 755, 347, 828

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 755 :

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

1, 5, 151, 755

Divisors of 347 :

The positive integer divisors of 347 that completely divides 347 are.

1, 347

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (735, 755, 347, 828) = 1.

Given numbers are 735, 755, 347, 828

The list of prime factors of all numbers are

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

Prime factors of 755 are 5 x 151

Prime factors of 347 are 347

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 735, 755, 347, 828

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

Apply this formula for all numbers.

Step1:

LCM(735, 755) = 110985

GCD(735, 755) = ( 735 x 755 ) / 110985

= 735 / 755

= 735

Step2:

LCM(5, 347) = 1735

GCD(5, 347) = ( 5 x 347 ) / 1735

= 5 / 347

= 5

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 735, 755, 347, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 369, 727, 986
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• GCD of 875, 559, 169, 340

Given numbers are 735, 755, 347, 828
The greatest common divisor of numbers 735, 755, 347, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 755, 347, 828 is 1.

1. What is the GCD of 735, 755, 347, 828?

GCD of given numbers 735, 755, 347, 828 is 1

2. How to calculate the greatest common divisor of 735, 755, 347, 828?

We can find the highest common divisor of 735, 755, 347, 828 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, 755, 347, 828 i.e 1.

3. How can I use the GCD of 735, 755, 347, 828Calculator?

Out the numbers 735, 755, 347, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.