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GCD of 852, 148, 638, 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 852, 148, 638, 967 quickly. Get the easiest ways to solve the greatest common divisor of 852, 148, 638, 967 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 852, 148, 638, 967 with Factoring?

Given Input numbers are 852, 148, 638, 967

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

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 (852, 148, 638, 967) = 1.

Find GCD of 852, 148, 638, 967 using Prime Factorization

Given numbers are 852, 148, 638, 967

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 148 are 2 x 2 x 37

Prime factors of 638 are 2 x 11 x 29

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 852, 148, 638, 967 using LCM Formula

Given numbers are 852, 148, 638, 967

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

Apply this formula for all numbers.

Step1:

LCM(852, 148) = 31524

GCD(852, 148) = ( 852 x 148 ) / 31524

= 852 / 148

= 852


Step2:

LCM(4, 638) = 1276

GCD(4, 638) = ( 4 x 638 ) / 1276

= 4 / 638

= 4


Step3:

LCM(2, 967) = 1934

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

= 2 / 967

= 2


So, Greatest Common Divisor of 852, 148, 638, 967 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 852, 148, 638, 967

Given numbers are 852, 148, 638, 967
The greatest common divisor of numbers 852, 148, 638, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 148, 638, 967 is 1.

FAQs on GCD of 852, 148, 638, 967 Calculator

1. What is the GCD of 852, 148, 638, 967?

GCD of given numbers 852, 148, 638, 967 is 1


2. How to calculate the greatest common divisor of 852, 148, 638, 967?

We can find the highest common divisor of 852, 148, 638, 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 852, 148, 638, 967 i.e 1.


3. How can I use the GCD of 852, 148, 638, 967Calculator?

Out the numbers 852, 148, 638, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.