GCD of 370, 488, 896, 735 Calculator

Given Input numbers are 370, 488, 896, 735

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

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

GCD of numbers is the greatest common divisor

So, the GCD (370, 488, 896, 735) = 1.

Given numbers are 370, 488, 896, 735

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

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

Given numbers are 370, 488, 896, 735

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

Apply this formula for all numbers.

Step1:

LCM(370, 488) = 90280

GCD(370, 488) = ( 370 x 488 ) / 90280

= 370 / 488

= 370

Step2:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

Step3:

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

= 2 / 735

= 2

So, Greatest Common Divisor of 370, 488, 896, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 983, 335, 290
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• GCD of 918, 942, 935, 519

Given numbers are 370, 488, 896, 735
The greatest common divisor of numbers 370, 488, 896, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 488, 896, 735 is 1.

1. What is the GCD of 370, 488, 896, 735?

GCD of given numbers 370, 488, 896, 735 is 1

2. How to calculate the greatest common divisor of 370, 488, 896, 735?

We can find the highest common divisor of 370, 488, 896, 735 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 370, 488, 896, 735 i.e 1.

3. How can I use the GCD of 370, 488, 896, 735Calculator?

Out the numbers 370, 488, 896, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.