GCD of 704, 838, 750, 850 Calculator

Given Input numbers are 704, 838, 750, 850

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

GCD of numbers is the greatest common divisor

So, the GCD (704, 838, 750, 850) = 2.

Given numbers are 704, 838, 750, 850

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 838 are 2 x 419

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 850 are 2 x 5 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 704, 838, 750, 850 is 2.

Given numbers are 704, 838, 750, 850

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

Apply this formula for all numbers.

Step1:

LCM(704, 838) = 294976

GCD(704, 838) = ( 704 x 838 ) / 294976

= 704 / 838

= 704

Step2:

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

= 2 / 750

= 2

Step3:

LCM(2, 850) = 850

GCD(2, 850) = ( 2 x 850 ) / 850

= 2 / 850

= 2

So, Greatest Common Divisor of 704, 838, 750, 850 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 175, 627, 982
• GCD of 282, 165, 652, 842
• GCD of 429, 140, 931, 812
• GCD of 341, 559, 227, 865
• GCD of 562, 814, 120, 966

Given numbers are 704, 838, 750, 850
The greatest common divisor of numbers 704, 838, 750, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 838, 750, 850 is 2.

1. What is the GCD of 704, 838, 750, 850?

GCD of given numbers 704, 838, 750, 850 is 2

2. How to calculate the greatest common divisor of 704, 838, 750, 850?

We can find the highest common divisor of 704, 838, 750, 850 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 704, 838, 750, 850 i.e 2.

3. How can I use the GCD of 704, 838, 750, 850Calculator?

Out the numbers 704, 838, 750, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.