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GCD of 51, 71, 70, 67 Calculator

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


Online GCD Calculator is useful to find the GCD of 51, 71, 70, 67 quickly. Get the easiest ways to solve the greatest common divisor of 51, 71, 70, 67 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 51, 71, 70, 67 with Factoring?

Given Input numbers are 51, 71, 70, 67

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

Divisors of 51 :

The positive integer divisors of 51 that completely divides 51 are.

1, 3, 17, 51

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 67 :

The positive integer divisors of 67 that completely divides 67 are.

1, 67


GCD of numbers is the greatest common divisor

So, the GCD (51, 71, 70, 67) = 1.

Find GCD of 51, 71, 70, 67 using Prime Factorization

Given numbers are 51, 71, 70, 67

The list of prime factors of all numbers are

Prime factors of 51 are 3 x 17

Prime factors of 71 are 71

Prime factors of 70 are 2 x 5 x 7

Prime factors of 67 are 67

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

Steps to Calculate GCD of 51, 71, 70, 67 using LCM Formula

Given numbers are 51, 71, 70, 67

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

Apply this formula for all numbers.

Step1:

LCM(51, 71) = 3621

GCD(51, 71) = ( 51 x 71 ) / 3621

= 51 / 71

= 51


Step2:

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

= 1 / 70

= 1


Step3:

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

= 1 / 67

= 1


So, Greatest Common Divisor of 51, 71, 70, 67 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 51, 71, 70, 67

Given numbers are 51, 71, 70, 67
The greatest common divisor of numbers 51, 71, 70, 67 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 51, 71, 70, 67 is 1.

FAQs on GCD of 51, 71, 70, 67 Calculator

1. What is the GCD of 51, 71, 70, 67?

GCD of given numbers 51, 71, 70, 67 is 1


2. How to calculate the greatest common divisor of 51, 71, 70, 67?

We can find the highest common divisor of 51, 71, 70, 67 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 51, 71, 70, 67 i.e 1.


3. How can I use the GCD of 51, 71, 70, 67Calculator?

Out the numbers 51, 71, 70, 67 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.