GCD of 735, 989, 240, 334 Calculator

Given Input numbers are 735, 989, 240, 334

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 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

GCD of numbers is the greatest common divisor

So, the GCD (735, 989, 240, 334) = 1.

Given numbers are 735, 989, 240, 334

The list of prime factors of all numbers are

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

Prime factors of 989 are 23 x 43

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 334 are 2 x 167

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

Given numbers are 735, 989, 240, 334

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

Apply this formula for all numbers.

Step1:

LCM(735, 989) = 726915

GCD(735, 989) = ( 735 x 989 ) / 726915

= 735 / 989

= 735

Step2:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

Step3:

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

= 1 / 334

= 1

So, Greatest Common Divisor of 735, 989, 240, 334 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 108, 685, 191
• GCD of 597, 630, 238, 170
• GCD of 335, 428, 241, 892
• GCD of 300, 113, 467, 755
• GCD of 271, 602, 896, 513

Given numbers are 735, 989, 240, 334
The greatest common divisor of numbers 735, 989, 240, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 989, 240, 334 is 1.

1. What is the GCD of 735, 989, 240, 334?

GCD of given numbers 735, 989, 240, 334 is 1

2. How to calculate the greatest common divisor of 735, 989, 240, 334?

We can find the highest common divisor of 735, 989, 240, 334 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, 989, 240, 334 i.e 1.

3. How can I use the GCD of 735, 989, 240, 334Calculator?

Out the numbers 735, 989, 240, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.