GCD of 752, 987, 743, 428 Calculator

Given Input numbers are 752, 987, 743, 428

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 987 :

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

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

Divisors of 743 :

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

1, 743

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (752, 987, 743, 428) = 1.

Given numbers are 752, 987, 743, 428

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 987 are 3 x 7 x 47

Prime factors of 743 are 743

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 752, 987, 743, 428

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

Apply this formula for all numbers.

Step1:

LCM(752, 987) = 15792

GCD(752, 987) = ( 752 x 987 ) / 15792

= 752 / 987

= 752

Step2:

LCM(47, 743) = 34921

GCD(47, 743) = ( 47 x 743 ) / 34921

= 47 / 743

= 47

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 752, 987, 743, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 231, 378, 781
• GCD of 431, 442, 238, 388
• GCD of 567, 882, 444, 846
• GCD of 632, 318, 340, 154
• GCD of 376, 709, 989, 418

Given numbers are 752, 987, 743, 428
The greatest common divisor of numbers 752, 987, 743, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 987, 743, 428 is 1.

1. What is the GCD of 752, 987, 743, 428?

GCD of given numbers 752, 987, 743, 428 is 1

2. How to calculate the greatest common divisor of 752, 987, 743, 428?

We can find the highest common divisor of 752, 987, 743, 428 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 752, 987, 743, 428 i.e 1.

3. How can I use the GCD of 752, 987, 743, 428Calculator?

Out the numbers 752, 987, 743, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.