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GCD of 749, 894, 240, 962 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, 894, 240, 962 quickly. Get the easiest ways to solve the greatest common divisor of 749, 894, 240, 962 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 749, 894, 240, 962 with Factoring?

Given Input numbers are 749, 894, 240, 962

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 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962


GCD of numbers is the greatest common divisor

So, the GCD (749, 894, 240, 962) = 1.

Find GCD of 749, 894, 240, 962 using Prime Factorization

Given numbers are 749, 894, 240, 962

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 894 are 2 x 3 x 149

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 962 are 2 x 13 x 37

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

Steps to Calculate GCD of 749, 894, 240, 962 using LCM Formula

Given numbers are 749, 894, 240, 962

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

Apply this formula for all numbers.

Step1:

LCM(749, 894) = 669606

GCD(749, 894) = ( 749 x 894 ) / 669606

= 749 / 894

= 749


Step2:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1


Step3:

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

= 1 / 962

= 1


So, Greatest Common Divisor of 749, 894, 240, 962 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 749, 894, 240, 962

Given numbers are 749, 894, 240, 962
The greatest common divisor of numbers 749, 894, 240, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 894, 240, 962 is 1.

FAQs on GCD of 749, 894, 240, 962 Calculator

1. What is the GCD of 749, 894, 240, 962?

GCD of given numbers 749, 894, 240, 962 is 1


2. How to calculate the greatest common divisor of 749, 894, 240, 962?

We can find the highest common divisor of 749, 894, 240, 962 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, 894, 240, 962 i.e 1.


3. How can I use the GCD of 749, 894, 240, 962Calculator?

Out the numbers 749, 894, 240, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.