GCD of 840, 744, 742, 971 Calculator

Given Input numbers are 840, 744, 742, 971

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (840, 744, 742, 971) = 1.

Given numbers are 840, 744, 742, 971

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 742 are 2 x 7 x 53

Prime factors of 971 are 971

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

Given numbers are 840, 744, 742, 971

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

Apply this formula for all numbers.

Step1:

LCM(840, 744) = 26040

GCD(840, 744) = ( 840 x 744 ) / 26040

= 840 / 744

= 840

Step2:

LCM(24, 742) = 8904

GCD(24, 742) = ( 24 x 742 ) / 8904

= 24 / 742

= 24

Step3:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2

So, Greatest Common Divisor of 840, 744, 742, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 825, 865, 739
• GCD of 549, 961, 400, 886
• GCD of 392, 737, 887, 420
• GCD of 219, 276, 152, 402
• GCD of 728, 195, 949, 864

Given numbers are 840, 744, 742, 971
The greatest common divisor of numbers 840, 744, 742, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 744, 742, 971 is 1.

1. What is the GCD of 840, 744, 742, 971?

GCD of given numbers 840, 744, 742, 971 is 1

2. How to calculate the greatest common divisor of 840, 744, 742, 971?

We can find the highest common divisor of 840, 744, 742, 971 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 840, 744, 742, 971 i.e 1.

3. How can I use the GCD of 840, 744, 742, 971Calculator?

Out the numbers 840, 744, 742, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.