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GCD of 749, 960, 394, 769 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 749, 960, 394, 769 quickly. Get the easiest ways to solve the greatest common divisor of 749, 960, 394, 769 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 749, 960, 394, 769 with Factoring?

Given Input numbers are 749, 960, 394, 769

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769


GCD of numbers is the greatest common divisor

So, the GCD (749, 960, 394, 769) = 1.

Find GCD of 749, 960, 394, 769 using Prime Factorization

Given numbers are 749, 960, 394, 769

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 394 are 2 x 197

Prime factors of 769 are 769

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

Steps to Calculate GCD of 749, 960, 394, 769 using LCM Formula

Given numbers are 749, 960, 394, 769

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

Apply this formula for all numbers.

Step1:

LCM(749, 960) = 719040

GCD(749, 960) = ( 749 x 960 ) / 719040

= 749 / 960

= 749


Step2:

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

= 1 / 394

= 1


Step3:

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

= 1 / 769

= 1


So, Greatest Common Divisor of 749, 960, 394, 769 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 749, 960, 394, 769

Given numbers are 749, 960, 394, 769
The greatest common divisor of numbers 749, 960, 394, 769 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 960, 394, 769 is 1.

FAQs on GCD of 749, 960, 394, 769 Calculator

1. What is the GCD of 749, 960, 394, 769?

GCD of given numbers 749, 960, 394, 769 is 1


2. How to calculate the greatest common divisor of 749, 960, 394, 769?

We can find the highest common divisor of 749, 960, 394, 769 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 749, 960, 394, 769 i.e 1.


3. How can I use the GCD of 749, 960, 394, 769Calculator?

Out the numbers 749, 960, 394, 769 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.