GCD of 752, 974, 744, 998 Calculator

Given Input numbers are 752, 974, 744, 998

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 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

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 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (752, 974, 744, 998) = 2.

Given numbers are 752, 974, 744, 998

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 974 are 2 x 487

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

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 752, 974, 744, 998 is 2.

Given numbers are 752, 974, 744, 998

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

Apply this formula for all numbers.

Step1:

LCM(752, 974) = 366224

GCD(752, 974) = ( 752 x 974 ) / 366224

= 752 / 974

= 752

Step2:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2

Step3:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

So, Greatest Common Divisor of 752, 974, 744, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 886, 959, 666
• GCD of 659, 103, 144, 578
• GCD of 760, 830, 818, 311
• GCD of 643, 262, 751, 975
• GCD of 980, 924, 582, 284

Given numbers are 752, 974, 744, 998
The greatest common divisor of numbers 752, 974, 744, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 974, 744, 998 is 2.

1. What is the GCD of 752, 974, 744, 998?

GCD of given numbers 752, 974, 744, 998 is 2

2. How to calculate the greatest common divisor of 752, 974, 744, 998?

We can find the highest common divisor of 752, 974, 744, 998 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, 974, 744, 998 i.e 2.

3. How can I use the GCD of 752, 974, 744, 998Calculator?

Out the numbers 752, 974, 744, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.