GCD of 160, 245, 735, 849 Calculator

Given Input numbers are 160, 245, 735, 849

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

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 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (160, 245, 735, 849) = 1.

Given numbers are 160, 245, 735, 849

The list of prime factors of all numbers are

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 245 are 5 x 7 x 7

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

Prime factors of 849 are 3 x 283

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

Given numbers are 160, 245, 735, 849

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

Apply this formula for all numbers.

Step1:

LCM(160, 245) = 7840

GCD(160, 245) = ( 160 x 245 ) / 7840

= 160 / 245

= 160

Step2:

LCM(5, 735) = 735

GCD(5, 735) = ( 5 x 735 ) / 735

= 5 / 735

= 5

Step3:

LCM(5, 849) = 4245

GCD(5, 849) = ( 5 x 849 ) / 4245

= 5 / 849

= 5

So, Greatest Common Divisor of 160, 245, 735, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 225, 585, 766
• GCD of 184, 431, 742, 975
• GCD of 434, 162, 740, 423
• GCD of 184, 546, 878, 171
• GCD of 748, 305, 915, 816

Given numbers are 160, 245, 735, 849
The greatest common divisor of numbers 160, 245, 735, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 245, 735, 849 is 1.

1. What is the GCD of 160, 245, 735, 849?

GCD of given numbers 160, 245, 735, 849 is 1

2. How to calculate the greatest common divisor of 160, 245, 735, 849?

We can find the highest common divisor of 160, 245, 735, 849 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 160, 245, 735, 849 i.e 1.

3. How can I use the GCD of 160, 245, 735, 849Calculator?

Out the numbers 160, 245, 735, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.