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GCD of 850, 922, 771, 742 Calculator

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


Online GCD Calculator is useful to find the GCD of 850, 922, 771, 742 quickly. Get the easiest ways to solve the greatest common divisor of 850, 922, 771, 742 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 850, 922, 771, 742 with Factoring?

Given Input numbers are 850, 922, 771, 742

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

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742


GCD of numbers is the greatest common divisor

So, the GCD (850, 922, 771, 742) = 1.

Find GCD of 850, 922, 771, 742 using Prime Factorization

Given numbers are 850, 922, 771, 742

The list of prime factors of all numbers are

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 922 are 2 x 461

Prime factors of 771 are 3 x 257

Prime factors of 742 are 2 x 7 x 53

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

Steps to Calculate GCD of 850, 922, 771, 742 using LCM Formula

Given numbers are 850, 922, 771, 742

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

Apply this formula for all numbers.

Step1:

LCM(850, 922) = 391850

GCD(850, 922) = ( 850 x 922 ) / 391850

= 850 / 922

= 850


Step2:

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

= 2 / 771

= 2


Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1


So, Greatest Common Divisor of 850, 922, 771, 742 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 850, 922, 771, 742

Given numbers are 850, 922, 771, 742
The greatest common divisor of numbers 850, 922, 771, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 850, 922, 771, 742 is 1.

FAQs on GCD of 850, 922, 771, 742 Calculator

1. What is the GCD of 850, 922, 771, 742?

GCD of given numbers 850, 922, 771, 742 is 1


2. How to calculate the greatest common divisor of 850, 922, 771, 742?

We can find the highest common divisor of 850, 922, 771, 742 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 850, 922, 771, 742 i.e 1.


3. How can I use the GCD of 850, 922, 771, 742Calculator?

Out the numbers 850, 922, 771, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.