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GCD of 874, 261, 550, 734 Calculator

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


Online GCD Calculator is useful to find the GCD of 874, 261, 550, 734 quickly. Get the easiest ways to solve the greatest common divisor of 874, 261, 550, 734 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 874, 261, 550, 734 with Factoring?

Given Input numbers are 874, 261, 550, 734

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734


GCD of numbers is the greatest common divisor

So, the GCD (874, 261, 550, 734) = 1.

Find GCD of 874, 261, 550, 734 using Prime Factorization

Given numbers are 874, 261, 550, 734

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 261 are 3 x 3 x 29

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 734 are 2 x 367

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

Steps to Calculate GCD of 874, 261, 550, 734 using LCM Formula

Given numbers are 874, 261, 550, 734

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

Apply this formula for all numbers.

Step1:

LCM(874, 261) = 228114

GCD(874, 261) = ( 874 x 261 ) / 228114

= 874 / 261

= 874


Step2:

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

= 1 / 550

= 1


Step3:

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

= 1 / 734

= 1


So, Greatest Common Divisor of 874, 261, 550, 734 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 874, 261, 550, 734

Given numbers are 874, 261, 550, 734
The greatest common divisor of numbers 874, 261, 550, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 261, 550, 734 is 1.

FAQs on GCD of 874, 261, 550, 734 Calculator

1. What is the GCD of 874, 261, 550, 734?

GCD of given numbers 874, 261, 550, 734 is 1


2. How to calculate the greatest common divisor of 874, 261, 550, 734?

We can find the highest common divisor of 874, 261, 550, 734 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 874, 261, 550, 734 i.e 1.


3. How can I use the GCD of 874, 261, 550, 734Calculator?

Out the numbers 874, 261, 550, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.