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GCD of 334, 126, 464, 948 Calculator

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


Online GCD Calculator is useful to find the GCD of 334, 126, 464, 948 quickly. Get the easiest ways to solve the greatest common divisor of 334, 126, 464, 948 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 334, 126, 464, 948 with Factoring?

Given Input numbers are 334, 126, 464, 948

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

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948


GCD of numbers is the greatest common divisor

So, the GCD (334, 126, 464, 948) = 2.

Find GCD of 334, 126, 464, 948 using Prime Factorization

Given numbers are 334, 126, 464, 948

The list of prime factors of all numbers are

Prime factors of 334 are 2 x 167

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 21

Therefore, GCD of 334, 126, 464, 948 is 2.

Steps to Calculate GCD of 334, 126, 464, 948 using LCM Formula

Given numbers are 334, 126, 464, 948

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

Apply this formula for all numbers.

Step1:

LCM(334, 126) = 21042

GCD(334, 126) = ( 334 x 126 ) / 21042

= 334 / 126

= 334


Step2:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2


Step3:

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

= 2 / 948

= 2


So, Greatest Common Divisor of 334, 126, 464, 948 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 334, 126, 464, 948

Given numbers are 334, 126, 464, 948
The greatest common divisor of numbers 334, 126, 464, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 126, 464, 948 is 2.

FAQs on GCD of 334, 126, 464, 948 Calculator

1. What is the GCD of 334, 126, 464, 948?

GCD of given numbers 334, 126, 464, 948 is 2


2. How to calculate the greatest common divisor of 334, 126, 464, 948?

We can find the highest common divisor of 334, 126, 464, 948 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 334, 126, 464, 948 i.e 2.


3. How can I use the GCD of 334, 126, 464, 948Calculator?

Out the numbers 334, 126, 464, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.