GCD of 748, 997, 979, 974 Calculator

Given Input numbers are 748, 997, 979, 974

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 997 :

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

1, 997

Divisors of 979 :

The positive integer divisors of 979 that completely divides 979 are.

1, 11, 89, 979

Divisors of 974 :

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

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (748, 997, 979, 974) = 1.

Given numbers are 748, 997, 979, 974

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 997 are 997

Prime factors of 979 are 11 x 89

Prime factors of 974 are 2 x 487

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

Given numbers are 748, 997, 979, 974

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

Apply this formula for all numbers.

Step1:

LCM(748, 997) = 745756

GCD(748, 997) = ( 748 x 997 ) / 745756

= 748 / 997

= 748

Step2:

LCM(1, 979) = 979

GCD(1, 979) = ( 1 x 979 ) / 979

= 1 / 979

= 1

Step3:

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

= 1 / 974

= 1

So, Greatest Common Divisor of 748, 997, 979, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 530, 814, 859
• GCD of 490, 584, 361, 603
• GCD of 207, 253, 339, 866
• GCD of 432, 299, 394, 635
• GCD of 702, 185, 592, 688

Given numbers are 748, 997, 979, 974
The greatest common divisor of numbers 748, 997, 979, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 997, 979, 974 is 1.

1. What is the GCD of 748, 997, 979, 974?

GCD of given numbers 748, 997, 979, 974 is 1

2. How to calculate the greatest common divisor of 748, 997, 979, 974?

We can find the highest common divisor of 748, 997, 979, 974 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 748, 997, 979, 974 i.e 1.

3. How can I use the GCD of 748, 997, 979, 974Calculator?

Out the numbers 748, 997, 979, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.