GCD of 434, 370, 690, 782 Calculator

Given Input numbers are 434, 370, 690, 782

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

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (434, 370, 690, 782) = 2.

Given numbers are 434, 370, 690, 782

The list of prime factors of all numbers are

Prime factors of 434 are 2 x 7 x 31

Prime factors of 370 are 2 x 5 x 37

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 434, 370, 690, 782 is 2.

Given numbers are 434, 370, 690, 782

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

Apply this formula for all numbers.

Step1:

LCM(434, 370) = 80290

GCD(434, 370) = ( 434 x 370 ) / 80290

= 434 / 370

= 434

Step2:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

Step3:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

So, Greatest Common Divisor of 434, 370, 690, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 243, 543, 385
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• GCD of 608, 718, 973, 884
• GCD of 517, 178, 641, 654
• GCD of 694, 167, 143, 514

Given numbers are 434, 370, 690, 782
The greatest common divisor of numbers 434, 370, 690, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 370, 690, 782 is 2.

1. What is the GCD of 434, 370, 690, 782?

GCD of given numbers 434, 370, 690, 782 is 2

2. How to calculate the greatest common divisor of 434, 370, 690, 782?

We can find the highest common divisor of 434, 370, 690, 782 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 434, 370, 690, 782 i.e 2.

3. How can I use the GCD of 434, 370, 690, 782Calculator?

Out the numbers 434, 370, 690, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.