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GCD of 946, 688, 840, 159 Calculator

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


Online GCD Calculator is useful to find the GCD of 946, 688, 840, 159 quickly. Get the easiest ways to solve the greatest common divisor of 946, 688, 840, 159 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 946, 688, 840, 159 with Factoring?

Given Input numbers are 946, 688, 840, 159

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

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159


GCD of numbers is the greatest common divisor

So, the GCD (946, 688, 840, 159) = 1.

Find GCD of 946, 688, 840, 159 using Prime Factorization

Given numbers are 946, 688, 840, 159

The list of prime factors of all numbers are

Prime factors of 946 are 2 x 11 x 43

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Prime factors of 159 are 3 x 53

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

Steps to Calculate GCD of 946, 688, 840, 159 using LCM Formula

Given numbers are 946, 688, 840, 159

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

Apply this formula for all numbers.

Step1:

LCM(946, 688) = 7568

GCD(946, 688) = ( 946 x 688 ) / 7568

= 946 / 688

= 946


Step2:

LCM(86, 840) = 36120

GCD(86, 840) = ( 86 x 840 ) / 36120

= 86 / 840

= 86


Step3:

LCM(2, 159) = 318

GCD(2, 159) = ( 2 x 159 ) / 318

= 2 / 159

= 2


So, Greatest Common Divisor of 946, 688, 840, 159 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 946, 688, 840, 159

Given numbers are 946, 688, 840, 159
The greatest common divisor of numbers 946, 688, 840, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 946, 688, 840, 159 is 1.

FAQs on GCD of 946, 688, 840, 159 Calculator

1. What is the GCD of 946, 688, 840, 159?

GCD of given numbers 946, 688, 840, 159 is 1


2. How to calculate the greatest common divisor of 946, 688, 840, 159?

We can find the highest common divisor of 946, 688, 840, 159 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 946, 688, 840, 159 i.e 1.


3. How can I use the GCD of 946, 688, 840, 159Calculator?

Out the numbers 946, 688, 840, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.