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GCD of 862, 138, 768, 921 Calculator

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


Online GCD Calculator is useful to find the GCD of 862, 138, 768, 921 quickly. Get the easiest ways to solve the greatest common divisor of 862, 138, 768, 921 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 862, 138, 768, 921 with Factoring?

Given Input numbers are 862, 138, 768, 921

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

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 921 :

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

1, 3, 307, 921


GCD of numbers is the greatest common divisor

So, the GCD (862, 138, 768, 921) = 1.

Find GCD of 862, 138, 768, 921 using Prime Factorization

Given numbers are 862, 138, 768, 921

The list of prime factors of all numbers are

Prime factors of 862 are 2 x 431

Prime factors of 138 are 2 x 3 x 23

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 921 are 3 x 307

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

Steps to Calculate GCD of 862, 138, 768, 921 using LCM Formula

Given numbers are 862, 138, 768, 921

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

Apply this formula for all numbers.

Step1:

LCM(862, 138) = 59478

GCD(862, 138) = ( 862 x 138 ) / 59478

= 862 / 138

= 862


Step2:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2


Step3:

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

= 2 / 921

= 2


So, Greatest Common Divisor of 862, 138, 768, 921 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 862, 138, 768, 921

Given numbers are 862, 138, 768, 921
The greatest common divisor of numbers 862, 138, 768, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 862, 138, 768, 921 is 1.

FAQs on GCD of 862, 138, 768, 921 Calculator

1. What is the GCD of 862, 138, 768, 921?

GCD of given numbers 862, 138, 768, 921 is 1


2. How to calculate the greatest common divisor of 862, 138, 768, 921?

We can find the highest common divisor of 862, 138, 768, 921 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 862, 138, 768, 921 i.e 1.


3. How can I use the GCD of 862, 138, 768, 921Calculator?

Out the numbers 862, 138, 768, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.