GCD of 240, 802, 749, 997 Calculator

Given Input numbers are 240, 802, 749, 997

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

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 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

GCD of numbers is the greatest common divisor

So, the GCD (240, 802, 749, 997) = 1.

Given numbers are 240, 802, 749, 997

The list of prime factors of all numbers are

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

Prime factors of 802 are 2 x 401

Prime factors of 749 are 7 x 107

Prime factors of 997 are 997

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

Given numbers are 240, 802, 749, 997

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

Apply this formula for all numbers.

Step1:

LCM(240, 802) = 96240

GCD(240, 802) = ( 240 x 802 ) / 96240

= 240 / 802

= 240

Step2:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2

Step3:

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

= 1 / 997

= 1

So, Greatest Common Divisor of 240, 802, 749, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 876, 406, 926
• GCD of 983, 955, 203, 635
• GCD of 604, 549, 991, 733
• GCD of 197, 735, 197, 802
• GCD of 905, 218, 449, 680

Given numbers are 240, 802, 749, 997
The greatest common divisor of numbers 240, 802, 749, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 802, 749, 997 is 1.

1. What is the GCD of 240, 802, 749, 997?

GCD of given numbers 240, 802, 749, 997 is 1

2. How to calculate the greatest common divisor of 240, 802, 749, 997?

We can find the highest common divisor of 240, 802, 749, 997 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 240, 802, 749, 997 i.e 1.

3. How can I use the GCD of 240, 802, 749, 997Calculator?

Out the numbers 240, 802, 749, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.