GCD of 748, 407, 874, 977 Calculator

Given Input numbers are 748, 407, 874, 977

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 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (748, 407, 874, 977) = 1.

Given numbers are 748, 407, 874, 977

The list of prime factors of all numbers are

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

Prime factors of 407 are 11 x 37

Prime factors of 874 are 2 x 19 x 23

Prime factors of 977 are 977

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

Given numbers are 748, 407, 874, 977

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

Apply this formula for all numbers.

Step1:

LCM(748, 407) = 27676

GCD(748, 407) = ( 748 x 407 ) / 27676

= 748 / 407

= 748

Step2:

LCM(11, 874) = 9614

GCD(11, 874) = ( 11 x 874 ) / 9614

= 11 / 874

= 11

Step3:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1

So, Greatest Common Divisor of 748, 407, 874, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 991, 933, 137
• GCD of 415, 546, 463, 381
• GCD of 198, 388, 219, 238
• GCD of 299, 906, 548, 125
• GCD of 306, 314, 127, 206

Given numbers are 748, 407, 874, 977
The greatest common divisor of numbers 748, 407, 874, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 407, 874, 977 is 1.

1. What is the GCD of 748, 407, 874, 977?

GCD of given numbers 748, 407, 874, 977 is 1

2. How to calculate the greatest common divisor of 748, 407, 874, 977?

We can find the highest common divisor of 748, 407, 874, 977 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, 407, 874, 977 i.e 1.

3. How can I use the GCD of 748, 407, 874, 977Calculator?

Out the numbers 748, 407, 874, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.