LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 949, 448, 331, 420 Calculator

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


Online GCD Calculator is useful to find the GCD of 949, 448, 331, 420 quickly. Get the easiest ways to solve the greatest common divisor of 949, 448, 331, 420 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 949, 448, 331, 420 with Factoring?

Given Input numbers are 949, 448, 331, 420

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

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420


GCD of numbers is the greatest common divisor

So, the GCD (949, 448, 331, 420) = 1.

Find GCD of 949, 448, 331, 420 using Prime Factorization

Given numbers are 949, 448, 331, 420

The list of prime factors of all numbers are

Prime factors of 949 are 13 x 73

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 331 are 331

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Steps to Calculate GCD of 949, 448, 331, 420 using LCM Formula

Given numbers are 949, 448, 331, 420

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

Apply this formula for all numbers.

Step1:

LCM(949, 448) = 425152

GCD(949, 448) = ( 949 x 448 ) / 425152

= 949 / 448

= 949


Step2:

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

= 1 / 331

= 1


Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1


So, Greatest Common Divisor of 949, 448, 331, 420 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 949, 448, 331, 420

Given numbers are 949, 448, 331, 420
The greatest common divisor of numbers 949, 448, 331, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 949, 448, 331, 420 is 1.

FAQs on GCD of 949, 448, 331, 420 Calculator

1. What is the GCD of 949, 448, 331, 420?

GCD of given numbers 949, 448, 331, 420 is 1


2. How to calculate the greatest common divisor of 949, 448, 331, 420?

We can find the highest common divisor of 949, 448, 331, 420 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 949, 448, 331, 420 i.e 1.


3. How can I use the GCD of 949, 448, 331, 420Calculator?

Out the numbers 949, 448, 331, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.