GCD of 831, 741, 840, 702 Calculator

Given Input numbers are 831, 741, 840, 702

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

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 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (831, 741, 840, 702) = 3.

Given numbers are 831, 741, 840, 702

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

Prime factors of 741 are 3 x 13 x 19

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

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 831, 741, 840, 702 is 3.

Given numbers are 831, 741, 840, 702

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

Apply this formula for all numbers.

Step1:

LCM(831, 741) = 205257

GCD(831, 741) = ( 831 x 741 ) / 205257

= 831 / 741

= 831

Step2:

LCM(3, 840) = 840

GCD(3, 840) = ( 3 x 840 ) / 840

= 3 / 840

= 3

Step3:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

So, Greatest Common Divisor of 831, 741, 840, 702 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 597, 517, 518
• GCD of 775, 177, 223, 244
• GCD of 999, 753, 668, 761
• GCD of 271, 368, 493, 889
• GCD of 426, 114, 229, 820

Given numbers are 831, 741, 840, 702
The greatest common divisor of numbers 831, 741, 840, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 741, 840, 702 is 3.

1. What is the GCD of 831, 741, 840, 702?

GCD of given numbers 831, 741, 840, 702 is 3

2. How to calculate the greatest common divisor of 831, 741, 840, 702?

We can find the highest common divisor of 831, 741, 840, 702 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 831, 741, 840, 702 i.e 3.

3. How can I use the GCD of 831, 741, 840, 702Calculator?

Out the numbers 831, 741, 840, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.