GCD of 743, 987, 78, 440 Calculator

Given Input numbers are 743, 987, 78, 440

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

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (743, 987, 78, 440) = 1.

Given numbers are 743, 987, 78, 440

The list of prime factors of all numbers are

Prime factors of 743 are 743

Prime factors of 987 are 3 x 7 x 47

Prime factors of 78 are 2 x 3 x 13

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

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

Given numbers are 743, 987, 78, 440

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

Apply this formula for all numbers.

Step1:

LCM(743, 987) = 733341

GCD(743, 987) = ( 743 x 987 ) / 733341

= 743 / 987

= 743

Step2:

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

= 1 / 78

= 1

Step3:

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

= 1 / 440

= 1

So, Greatest Common Divisor of 743, 987, 78, 440 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 560, 79, 935
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• GCD of 925, 227, 40, 561

Given numbers are 743, 987, 78, 440
The greatest common divisor of numbers 743, 987, 78, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 743, 987, 78, 440 is 1.

1. What is the GCD of 743, 987, 78, 440?

GCD of given numbers 743, 987, 78, 440 is 1

2. How to calculate the greatest common divisor of 743, 987, 78, 440?

We can find the highest common divisor of 743, 987, 78, 440 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 743, 987, 78, 440 i.e 1.

3. How can I use the GCD of 743, 987, 78, 440Calculator?

Out the numbers 743, 987, 78, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.