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GCD of 420, 376, 741, 991 Calculator

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


Online GCD Calculator is useful to find the GCD of 420, 376, 741, 991 quickly. Get the easiest ways to solve the greatest common divisor of 420, 376, 741, 991 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 376, 741, 991 with Factoring?

Given Input numbers are 420, 376, 741, 991

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

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

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991


GCD of numbers is the greatest common divisor

So, the GCD (420, 376, 741, 991) = 1.

Find GCD of 420, 376, 741, 991 using Prime Factorization

Given numbers are 420, 376, 741, 991

The list of prime factors of all numbers are

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

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 741 are 3 x 13 x 19

Prime factors of 991 are 991

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

Steps to Calculate GCD of 420, 376, 741, 991 using LCM Formula

Given numbers are 420, 376, 741, 991

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

Apply this formula for all numbers.

Step1:

LCM(420, 376) = 39480

GCD(420, 376) = ( 420 x 376 ) / 39480

= 420 / 376

= 420


Step2:

LCM(4, 741) = 2964

GCD(4, 741) = ( 4 x 741 ) / 2964

= 4 / 741

= 4


Step3:

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

= 1 / 991

= 1


So, Greatest Common Divisor of 420, 376, 741, 991 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 376, 741, 991

Given numbers are 420, 376, 741, 991
The greatest common divisor of numbers 420, 376, 741, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 376, 741, 991 is 1.

FAQs on GCD of 420, 376, 741, 991 Calculator

1. What is the GCD of 420, 376, 741, 991?

GCD of given numbers 420, 376, 741, 991 is 1


2. How to calculate the greatest common divisor of 420, 376, 741, 991?

We can find the highest common divisor of 420, 376, 741, 991 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 420, 376, 741, 991 i.e 1.


3. How can I use the GCD of 420, 376, 741, 991Calculator?

Out the numbers 420, 376, 741, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.