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GCD of 146, 968, 376, 692 Calculator

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


Online GCD Calculator is useful to find the GCD of 146, 968, 376, 692 quickly. Get the easiest ways to solve the greatest common divisor of 146, 968, 376, 692 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 146, 968, 376, 692 with Factoring?

Given Input numbers are 146, 968, 376, 692

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

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 376 :

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

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

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692


GCD of numbers is the greatest common divisor

So, the GCD (146, 968, 376, 692) = 2.

Find GCD of 146, 968, 376, 692 using Prime Factorization

Given numbers are 146, 968, 376, 692

The list of prime factors of all numbers are

Prime factors of 146 are 2 x 73

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

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

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 21

Therefore, GCD of 146, 968, 376, 692 is 2.

Steps to Calculate GCD of 146, 968, 376, 692 using LCM Formula

Given numbers are 146, 968, 376, 692

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

Apply this formula for all numbers.

Step1:

LCM(146, 968) = 70664

GCD(146, 968) = ( 146 x 968 ) / 70664

= 146 / 968

= 146


Step2:

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

= 2 / 376

= 2


Step3:

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

= 2 / 692

= 2


So, Greatest Common Divisor of 146, 968, 376, 692 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 146, 968, 376, 692

Given numbers are 146, 968, 376, 692
The greatest common divisor of numbers 146, 968, 376, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 968, 376, 692 is 2.

FAQs on GCD of 146, 968, 376, 692 Calculator

1. What is the GCD of 146, 968, 376, 692?

GCD of given numbers 146, 968, 376, 692 is 2


2. How to calculate the greatest common divisor of 146, 968, 376, 692?

We can find the highest common divisor of 146, 968, 376, 692 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 146, 968, 376, 692 i.e 2.


3. How can I use the GCD of 146, 968, 376, 692Calculator?

Out the numbers 146, 968, 376, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.