GCD of 126, 950, 900, 958 Calculator

Given Input numbers are 126, 950, 900, 958

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

GCD of numbers is the greatest common divisor

So, the GCD (126, 950, 900, 958) = 2.

Given numbers are 126, 950, 900, 958

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 950 are 2 x 5 x 5 x 19

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 958 are 2 x 479

The highest common occurrence is 2¹

Therefore, GCD of 126, 950, 900, 958 is 2.

Given numbers are 126, 950, 900, 958

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

Apply this formula for all numbers.

Step1:

LCM(126, 950) = 59850

GCD(126, 950) = ( 126 x 950 ) / 59850

= 126 / 950

= 126

Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

Step3:

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

= 2 / 958

= 2

So, Greatest Common Divisor of 126, 950, 900, 958 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 897, 775, 700
• GCD of 290, 741, 938, 158
• GCD of 810, 705, 262, 704
• GCD of 606, 947, 865, 138
• GCD of 139, 782, 896, 168

Given numbers are 126, 950, 900, 958
The greatest common divisor of numbers 126, 950, 900, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 950, 900, 958 is 2.

1. What is the GCD of 126, 950, 900, 958?

GCD of given numbers 126, 950, 900, 958 is 2

2. How to calculate the greatest common divisor of 126, 950, 900, 958?

We can find the highest common divisor of 126, 950, 900, 958 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 126, 950, 900, 958 i.e 2.

3. How can I use the GCD of 126, 950, 900, 958Calculator?

Out the numbers 126, 950, 900, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.