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GCD of 875, 969, 148, 828 Calculator

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


Online GCD Calculator is useful to find the GCD of 875, 969, 148, 828 quickly. Get the easiest ways to solve the greatest common divisor of 875, 969, 148, 828 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 875, 969, 148, 828 with Factoring?

Given Input numbers are 875, 969, 148, 828

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

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 148 :

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

1, 2, 4, 37, 74, 148

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828


GCD of numbers is the greatest common divisor

So, the GCD (875, 969, 148, 828) = 1.

Find GCD of 875, 969, 148, 828 using Prime Factorization

Given numbers are 875, 969, 148, 828

The list of prime factors of all numbers are

Prime factors of 875 are 5 x 5 x 5 x 7

Prime factors of 969 are 3 x 17 x 19

Prime factors of 148 are 2 x 2 x 37

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Steps to Calculate GCD of 875, 969, 148, 828 using LCM Formula

Given numbers are 875, 969, 148, 828

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

Apply this formula for all numbers.

Step1:

LCM(875, 969) = 847875

GCD(875, 969) = ( 875 x 969 ) / 847875

= 875 / 969

= 875


Step2:

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

= 1 / 148

= 1


Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1


So, Greatest Common Divisor of 875, 969, 148, 828 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 875, 969, 148, 828

Given numbers are 875, 969, 148, 828
The greatest common divisor of numbers 875, 969, 148, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 875, 969, 148, 828 is 1.

FAQs on GCD of 875, 969, 148, 828 Calculator

1. What is the GCD of 875, 969, 148, 828?

GCD of given numbers 875, 969, 148, 828 is 1


2. How to calculate the greatest common divisor of 875, 969, 148, 828?

We can find the highest common divisor of 875, 969, 148, 828 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 875, 969, 148, 828 i.e 1.


3. How can I use the GCD of 875, 969, 148, 828Calculator?

Out the numbers 875, 969, 148, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.