GCD of 148, 918, 200, 676 Calculator

Given Input numbers are 148, 918, 200, 676

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (148, 918, 200, 676) = 2.

Given numbers are 148, 918, 200, 676

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 148, 918, 200, 676 is 2.

Given numbers are 148, 918, 200, 676

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

Apply this formula for all numbers.

Step1:

LCM(148, 918) = 67932

GCD(148, 918) = ( 148 x 918 ) / 67932

= 148 / 918

= 148

Step2:

LCM(2, 200) = 200

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

= 2 / 200

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 148, 918, 200, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 161, 894, 423, 911
• GCD of 117, 138, 238, 490
• GCD of 899, 945, 637, 467
• GCD of 867, 374, 183, 380
• GCD of 462, 533, 591, 757

Given numbers are 148, 918, 200, 676
The greatest common divisor of numbers 148, 918, 200, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 918, 200, 676 is 2.

1. What is the GCD of 148, 918, 200, 676?

GCD of given numbers 148, 918, 200, 676 is 2

2. How to calculate the greatest common divisor of 148, 918, 200, 676?

We can find the highest common divisor of 148, 918, 200, 676 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 148, 918, 200, 676 i.e 2.

3. How can I use the GCD of 148, 918, 200, 676Calculator?

Out the numbers 148, 918, 200, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.