GCD of 767, 989, 921, 748 Calculator

Given Input numbers are 767, 989, 921, 748

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

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

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

GCD of numbers is the greatest common divisor

So, the GCD (767, 989, 921, 748) = 1.

Given numbers are 767, 989, 921, 748

The list of prime factors of all numbers are

Prime factors of 767 are 13 x 59

Prime factors of 989 are 23 x 43

Prime factors of 921 are 3 x 307

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

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

Given numbers are 767, 989, 921, 748

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

Apply this formula for all numbers.

Step1:

LCM(767, 989) = 758563

GCD(767, 989) = ( 767 x 989 ) / 758563

= 767 / 989

= 767

Step2:

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

= 1 / 921

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 767, 989, 921, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 845, 544, 189
• GCD of 272, 295, 889, 649
• GCD of 535, 806, 875, 599
• GCD of 792, 264, 358, 648
• GCD of 892, 297, 833, 919

Given numbers are 767, 989, 921, 748
The greatest common divisor of numbers 767, 989, 921, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 767, 989, 921, 748 is 1.

1. What is the GCD of 767, 989, 921, 748?

GCD of given numbers 767, 989, 921, 748 is 1

2. How to calculate the greatest common divisor of 767, 989, 921, 748?

We can find the highest common divisor of 767, 989, 921, 748 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 767, 989, 921, 748 i.e 1.

3. How can I use the GCD of 767, 989, 921, 748Calculator?

Out the numbers 767, 989, 921, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.