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GCD of 553, 772, 688, 141 Calculator

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


Online GCD Calculator is useful to find the GCD of 553, 772, 688, 141 quickly. Get the easiest ways to solve the greatest common divisor of 553, 772, 688, 141 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 553, 772, 688, 141 with Factoring?

Given Input numbers are 553, 772, 688, 141

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

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

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 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141


GCD of numbers is the greatest common divisor

So, the GCD (553, 772, 688, 141) = 1.

Find GCD of 553, 772, 688, 141 using Prime Factorization

Given numbers are 553, 772, 688, 141

The list of prime factors of all numbers are

Prime factors of 553 are 7 x 79

Prime factors of 772 are 2 x 2 x 193

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

Prime factors of 141 are 3 x 47

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

Steps to Calculate GCD of 553, 772, 688, 141 using LCM Formula

Given numbers are 553, 772, 688, 141

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

Apply this formula for all numbers.

Step1:

LCM(553, 772) = 426916

GCD(553, 772) = ( 553 x 772 ) / 426916

= 553 / 772

= 553


Step2:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1


Step3:

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

= 1 / 141

= 1


So, Greatest Common Divisor of 553, 772, 688, 141 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 553, 772, 688, 141

Given numbers are 553, 772, 688, 141
The greatest common divisor of numbers 553, 772, 688, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 553, 772, 688, 141 is 1.

FAQs on GCD of 553, 772, 688, 141 Calculator

1. What is the GCD of 553, 772, 688, 141?

GCD of given numbers 553, 772, 688, 141 is 1


2. How to calculate the greatest common divisor of 553, 772, 688, 141?

We can find the highest common divisor of 553, 772, 688, 141 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 553, 772, 688, 141 i.e 1.


3. How can I use the GCD of 553, 772, 688, 141Calculator?

Out the numbers 553, 772, 688, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.