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GCD of 840, 208, 148, 236 Calculator

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


Online GCD Calculator is useful to find the GCD of 840, 208, 148, 236 quickly. Get the easiest ways to solve the greatest common divisor of 840, 208, 148, 236 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 840, 208, 148, 236 with Factoring?

Given Input numbers are 840, 208, 148, 236

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 148 :

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

1, 2, 4, 37, 74, 148

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236


GCD of numbers is the greatest common divisor

So, the GCD (840, 208, 148, 236) = 4.

Find GCD of 840, 208, 148, 236 using Prime Factorization

Given numbers are 840, 208, 148, 236

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 148 are 2 x 2 x 37

Prime factors of 236 are 2 x 2 x 59

The highest common occurrence is 22

Therefore, GCD of 840, 208, 148, 236 is 4.

Steps to Calculate GCD of 840, 208, 148, 236 using LCM Formula

Given numbers are 840, 208, 148, 236

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

Apply this formula for all numbers.

Step1:

LCM(840, 208) = 21840

GCD(840, 208) = ( 840 x 208 ) / 21840

= 840 / 208

= 840


Step2:

LCM(8, 148) = 296

GCD(8, 148) = ( 8 x 148 ) / 296

= 8 / 148

= 8


Step3:

LCM(4, 236) = 236

GCD(4, 236) = ( 4 x 236 ) / 236

= 4 / 236

= 4


So, Greatest Common Divisor of 840, 208, 148, 236 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 840, 208, 148, 236

Given numbers are 840, 208, 148, 236
The greatest common divisor of numbers 840, 208, 148, 236 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 208, 148, 236 is 4.

FAQs on GCD of 840, 208, 148, 236 Calculator

1. What is the GCD of 840, 208, 148, 236?

GCD of given numbers 840, 208, 148, 236 is 4


2. How to calculate the greatest common divisor of 840, 208, 148, 236?

We can find the highest common divisor of 840, 208, 148, 236 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 840, 208, 148, 236 i.e 4.


3. How can I use the GCD of 840, 208, 148, 236Calculator?

Out the numbers 840, 208, 148, 236 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.