GCD of 688, 262, 840, 946 Calculator

Given Input numbers are 688, 262, 840, 946

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

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 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

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 946 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (688, 262, 840, 946) = 2.

Given numbers are 688, 262, 840, 946

The list of prime factors of all numbers are

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

Prime factors of 262 are 2 x 131

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

Prime factors of 946 are 2 x 11 x 43

The highest common occurrence is 2¹

Therefore, GCD of 688, 262, 840, 946 is 2.

Given numbers are 688, 262, 840, 946

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

Apply this formula for all numbers.

Step1:

LCM(688, 262) = 90128

GCD(688, 262) = ( 688 x 262 ) / 90128

= 688 / 262

= 688

Step2:

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

= 2 / 840

= 2

Step3:

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

= 2 / 946

= 2

So, Greatest Common Divisor of 688, 262, 840, 946 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 883, 862, 660
• GCD of 942, 538, 922, 424
• GCD of 170, 824, 613, 493
• GCD of 489, 496, 454, 119
• GCD of 489, 255, 907, 933

Given numbers are 688, 262, 840, 946
The greatest common divisor of numbers 688, 262, 840, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 262, 840, 946 is 2.

1. What is the GCD of 688, 262, 840, 946?

GCD of given numbers 688, 262, 840, 946 is 2

2. How to calculate the greatest common divisor of 688, 262, 840, 946?

We can find the highest common divisor of 688, 262, 840, 946 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 688, 262, 840, 946 i.e 2.

3. How can I use the GCD of 688, 262, 840, 946Calculator?

Out the numbers 688, 262, 840, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.