GCD of 852, 802, 200, 748 Calculator

Given Input numbers are 852, 802, 200, 748

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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

GCD of numbers is the greatest common divisor

So, the GCD (852, 802, 200, 748) = 2.

Given numbers are 852, 802, 200, 748

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 802 are 2 x 401

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 852, 802, 200, 748 is 2.

Given numbers are 852, 802, 200, 748

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

Apply this formula for all numbers.

Step1:

LCM(852, 802) = 341652

GCD(852, 802) = ( 852 x 802 ) / 341652

= 852 / 802

= 852

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 748) = 748

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

= 2 / 748

= 2

So, Greatest Common Divisor of 852, 802, 200, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 372, 336, 129
• GCD of 941, 540, 494, 837
• GCD of 885, 871, 857, 608
• GCD of 851, 677, 148, 992
• GCD of 783, 641, 945, 430

Given numbers are 852, 802, 200, 748
The greatest common divisor of numbers 852, 802, 200, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 802, 200, 748 is 2.

1. What is the GCD of 852, 802, 200, 748?

GCD of given numbers 852, 802, 200, 748 is 2

2. How to calculate the greatest common divisor of 852, 802, 200, 748?

We can find the highest common divisor of 852, 802, 200, 748 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 852, 802, 200, 748 i.e 2.

3. How can I use the GCD of 852, 802, 200, 748Calculator?

Out the numbers 852, 802, 200, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.