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GCD of 842, 420, 706, 967 Calculator

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


Online GCD Calculator is useful to find the GCD of 842, 420, 706, 967 quickly. Get the easiest ways to solve the greatest common divisor of 842, 420, 706, 967 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 842, 420, 706, 967 with Factoring?

Given Input numbers are 842, 420, 706, 967

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967


GCD of numbers is the greatest common divisor

So, the GCD (842, 420, 706, 967) = 1.

Find GCD of 842, 420, 706, 967 using Prime Factorization

Given numbers are 842, 420, 706, 967

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 706 are 2 x 353

Prime factors of 967 are 967

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

Steps to Calculate GCD of 842, 420, 706, 967 using LCM Formula

Given numbers are 842, 420, 706, 967

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

Apply this formula for all numbers.

Step1:

LCM(842, 420) = 176820

GCD(842, 420) = ( 842 x 420 ) / 176820

= 842 / 420

= 842


Step2:

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

= 2 / 706

= 2


Step3:

LCM(2, 967) = 1934

GCD(2, 967) = ( 2 x 967 ) / 1934

= 2 / 967

= 2


So, Greatest Common Divisor of 842, 420, 706, 967 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 842, 420, 706, 967

Given numbers are 842, 420, 706, 967
The greatest common divisor of numbers 842, 420, 706, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 420, 706, 967 is 1.

FAQs on GCD of 842, 420, 706, 967 Calculator

1. What is the GCD of 842, 420, 706, 967?

GCD of given numbers 842, 420, 706, 967 is 1


2. How to calculate the greatest common divisor of 842, 420, 706, 967?

We can find the highest common divisor of 842, 420, 706, 967 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 842, 420, 706, 967 i.e 1.


3. How can I use the GCD of 842, 420, 706, 967Calculator?

Out the numbers 842, 420, 706, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.