GCD of 700, 838, 748, 176 Calculator

Given Input numbers are 700, 838, 748, 176

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 838 :

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

1, 2, 419, 838

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

GCD of numbers is the greatest common divisor

So, the GCD (700, 838, 748, 176) = 2.

Given numbers are 700, 838, 748, 176

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 838 are 2 x 419

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 700, 838, 748, 176 is 2.

Given numbers are 700, 838, 748, 176

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

Apply this formula for all numbers.

Step1:

LCM(700, 838) = 293300

GCD(700, 838) = ( 700 x 838 ) / 293300

= 700 / 838

= 700

Step2:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

Step3:

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

= 2 / 176

= 2

So, Greatest Common Divisor of 700, 838, 748, 176 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 576, 228, 694
• GCD of 449, 966, 454, 185
• GCD of 235, 936, 322, 705
• GCD of 780, 725, 281, 555
• GCD of 518, 752, 504, 275

Given numbers are 700, 838, 748, 176
The greatest common divisor of numbers 700, 838, 748, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 838, 748, 176 is 2.

1. What is the GCD of 700, 838, 748, 176?

GCD of given numbers 700, 838, 748, 176 is 2

2. How to calculate the greatest common divisor of 700, 838, 748, 176?

We can find the highest common divisor of 700, 838, 748, 176 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 700, 838, 748, 176 i.e 2.

3. How can I use the GCD of 700, 838, 748, 176Calculator?

Out the numbers 700, 838, 748, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.