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GCD of 37, 46, 35, 61 Calculator

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


Online GCD Calculator is useful to find the GCD of 37, 46, 35, 61 quickly. Get the easiest ways to solve the greatest common divisor of 37, 46, 35, 61 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 37, 46, 35, 61 with Factoring?

Given Input numbers are 37, 46, 35, 61

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

Divisors of 37 :

The positive integer divisors of 37 that completely divides 37 are.

1, 37

Divisors of 46 :

The positive integer divisors of 46 that completely divides 46 are.

1, 2, 23, 46

Divisors of 35 :

The positive integer divisors of 35 that completely divides 35 are.

1, 5, 7, 35

Divisors of 61 :

The positive integer divisors of 61 that completely divides 61 are.

1, 61


GCD of numbers is the greatest common divisor

So, the GCD (37, 46, 35, 61) = 1.

Find GCD of 37, 46, 35, 61 using Prime Factorization

Given numbers are 37, 46, 35, 61

The list of prime factors of all numbers are

Prime factors of 37 are 37

Prime factors of 46 are 2 x 23

Prime factors of 35 are 5 x 7

Prime factors of 61 are 61

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

Steps to Calculate GCD of 37, 46, 35, 61 using LCM Formula

Given numbers are 37, 46, 35, 61

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

Apply this formula for all numbers.

Step1:

LCM(37, 46) = 1702

GCD(37, 46) = ( 37 x 46 ) / 1702

= 37 / 46

= 37


Step2:

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

= 1 / 35

= 1


Step3:

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

= 1 / 61

= 1


So, Greatest Common Divisor of 37, 46, 35, 61 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 37, 46, 35, 61

Given numbers are 37, 46, 35, 61
The greatest common divisor of numbers 37, 46, 35, 61 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 37, 46, 35, 61 is 1.

FAQs on GCD of 37, 46, 35, 61 Calculator

1. What is the GCD of 37, 46, 35, 61?

GCD of given numbers 37, 46, 35, 61 is 1


2. How to calculate the greatest common divisor of 37, 46, 35, 61?

We can find the highest common divisor of 37, 46, 35, 61 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 37, 46, 35, 61 i.e 1.


3. How can I use the GCD of 37, 46, 35, 61Calculator?

Out the numbers 37, 46, 35, 61 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.