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GCD of 101, 688, 428, 346 Calculator

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


Online GCD Calculator is useful to find the GCD of 101, 688, 428, 346 quickly. Get the easiest ways to solve the greatest common divisor of 101, 688, 428, 346 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 101, 688, 428, 346 with Factoring?

Given Input numbers are 101, 688, 428, 346

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

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346


GCD of numbers is the greatest common divisor

So, the GCD (101, 688, 428, 346) = 1.

Find GCD of 101, 688, 428, 346 using Prime Factorization

Given numbers are 101, 688, 428, 346

The list of prime factors of all numbers are

Prime factors of 101 are 101

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 428 are 2 x 2 x 107

Prime factors of 346 are 2 x 173

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

Steps to Calculate GCD of 101, 688, 428, 346 using LCM Formula

Given numbers are 101, 688, 428, 346

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

Apply this formula for all numbers.

Step1:

LCM(101, 688) = 69488

GCD(101, 688) = ( 101 x 688 ) / 69488

= 101 / 688

= 101


Step2:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1


Step3:

LCM(1, 346) = 346

GCD(1, 346) = ( 1 x 346 ) / 346

= 1 / 346

= 1


So, Greatest Common Divisor of 101, 688, 428, 346 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 101, 688, 428, 346

Given numbers are 101, 688, 428, 346
The greatest common divisor of numbers 101, 688, 428, 346 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 101, 688, 428, 346 is 1.

FAQs on GCD of 101, 688, 428, 346 Calculator

1. What is the GCD of 101, 688, 428, 346?

GCD of given numbers 101, 688, 428, 346 is 1


2. How to calculate the greatest common divisor of 101, 688, 428, 346?

We can find the highest common divisor of 101, 688, 428, 346 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 101, 688, 428, 346 i.e 1.


3. How can I use the GCD of 101, 688, 428, 346Calculator?

Out the numbers 101, 688, 428, 346 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.