GCD of 102, 200, 848, 748 Calculator

Given Input numbers are 102, 200, 848, 748

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

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 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

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 (102, 200, 848, 748) = 2.

Given numbers are 102, 200, 848, 748

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

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

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

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

The highest common occurrence is 2¹

Therefore, GCD of 102, 200, 848, 748 is 2.

Given numbers are 102, 200, 848, 748

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

Apply this formula for all numbers.

Step1:

LCM(102, 200) = 10200

GCD(102, 200) = ( 102 x 200 ) / 10200

= 102 / 200

= 102

Step2:

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

= 2 / 848

= 2

Step3:

LCM(2, 748) = 748

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

= 2 / 748

= 2

So, Greatest Common Divisor of 102, 200, 848, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 630, 258, 728
• GCD of 722, 601, 590, 632
• GCD of 730, 819, 852, 315
• GCD of 410, 399, 971, 690
• GCD of 163, 704, 750, 828

Given numbers are 102, 200, 848, 748
The greatest common divisor of numbers 102, 200, 848, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 200, 848, 748 is 2.

1. What is the GCD of 102, 200, 848, 748?

GCD of given numbers 102, 200, 848, 748 is 2

2. How to calculate the greatest common divisor of 102, 200, 848, 748?

We can find the highest common divisor of 102, 200, 848, 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 102, 200, 848, 748 i.e 2.

3. How can I use the GCD of 102, 200, 848, 748Calculator?

Out the numbers 102, 200, 848, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.