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GCD of 736, 862, 871, 354 Calculator

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


Online GCD Calculator is useful to find the GCD of 736, 862, 871, 354 quickly. Get the easiest ways to solve the greatest common divisor of 736, 862, 871, 354 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 736, 862, 871, 354 with Factoring?

Given Input numbers are 736, 862, 871, 354

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354


GCD of numbers is the greatest common divisor

So, the GCD (736, 862, 871, 354) = 1.

Find GCD of 736, 862, 871, 354 using Prime Factorization

Given numbers are 736, 862, 871, 354

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 862 are 2 x 431

Prime factors of 871 are 13 x 67

Prime factors of 354 are 2 x 3 x 59

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

Steps to Calculate GCD of 736, 862, 871, 354 using LCM Formula

Given numbers are 736, 862, 871, 354

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

Apply this formula for all numbers.

Step1:

LCM(736, 862) = 317216

GCD(736, 862) = ( 736 x 862 ) / 317216

= 736 / 862

= 736


Step2:

LCM(2, 871) = 1742

GCD(2, 871) = ( 2 x 871 ) / 1742

= 2 / 871

= 2


Step3:

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

= 1 / 354

= 1


So, Greatest Common Divisor of 736, 862, 871, 354 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 736, 862, 871, 354

Given numbers are 736, 862, 871, 354
The greatest common divisor of numbers 736, 862, 871, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 862, 871, 354 is 1.

FAQs on GCD of 736, 862, 871, 354 Calculator

1. What is the GCD of 736, 862, 871, 354?

GCD of given numbers 736, 862, 871, 354 is 1


2. How to calculate the greatest common divisor of 736, 862, 871, 354?

We can find the highest common divisor of 736, 862, 871, 354 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 736, 862, 871, 354 i.e 1.


3. How can I use the GCD of 736, 862, 871, 354Calculator?

Out the numbers 736, 862, 871, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.