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GCD of 462, 374, 626, 148 Calculator

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


Online GCD Calculator is useful to find the GCD of 462, 374, 626, 148 quickly. Get the easiest ways to solve the greatest common divisor of 462, 374, 626, 148 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 374, 626, 148 with Factoring?

Given Input numbers are 462, 374, 626, 148

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148


GCD of numbers is the greatest common divisor

So, the GCD (462, 374, 626, 148) = 2.

Find GCD of 462, 374, 626, 148 using Prime Factorization

Given numbers are 462, 374, 626, 148

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 374 are 2 x 11 x 17

Prime factors of 626 are 2 x 313

Prime factors of 148 are 2 x 2 x 37

The highest common occurrence is 21

Therefore, GCD of 462, 374, 626, 148 is 2.

Steps to Calculate GCD of 462, 374, 626, 148 using LCM Formula

Given numbers are 462, 374, 626, 148

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

Apply this formula for all numbers.

Step1:

LCM(462, 374) = 7854

GCD(462, 374) = ( 462 x 374 ) / 7854

= 462 / 374

= 462


Step2:

LCM(22, 626) = 6886

GCD(22, 626) = ( 22 x 626 ) / 6886

= 22 / 626

= 22


Step3:

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

= 2 / 148

= 2


So, Greatest Common Divisor of 462, 374, 626, 148 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 374, 626, 148

Given numbers are 462, 374, 626, 148
The greatest common divisor of numbers 462, 374, 626, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 374, 626, 148 is 2.

FAQs on GCD of 462, 374, 626, 148 Calculator

1. What is the GCD of 462, 374, 626, 148?

GCD of given numbers 462, 374, 626, 148 is 2


2. How to calculate the greatest common divisor of 462, 374, 626, 148?

We can find the highest common divisor of 462, 374, 626, 148 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 462, 374, 626, 148 i.e 2.


3. How can I use the GCD of 462, 374, 626, 148Calculator?

Out the numbers 462, 374, 626, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.