GCD of 133, 749, 987, 126 Calculator

Given Input numbers are 133, 749, 987, 126

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

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

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

GCD of numbers is the greatest common divisor

So, the GCD (133, 749, 987, 126) = 7.

Given numbers are 133, 749, 987, 126

The list of prime factors of all numbers are

Prime factors of 133 are 7 x 19

Prime factors of 749 are 7 x 107

Prime factors of 987 are 3 x 7 x 47

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

The highest common occurrence is 7¹

Therefore, GCD of 133, 749, 987, 126 is 7.

Given numbers are 133, 749, 987, 126

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

Apply this formula for all numbers.

Step1:

LCM(133, 749) = 14231

GCD(133, 749) = ( 133 x 749 ) / 14231

= 133 / 749

= 133

Step2:

LCM(7, 987) = 987

GCD(7, 987) = ( 7 x 987 ) / 987

= 7 / 987

= 7

Step3:

LCM(7, 126) = 126

GCD(7, 126) = ( 7 x 126 ) / 126

= 7 / 126

= 7

So, Greatest Common Divisor of 133, 749, 987, 126 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 503, 776, 956
• GCD of 156, 793, 597, 381
• GCD of 310, 826, 755, 347
• GCD of 756, 567, 752, 129
• GCD of 636, 330, 134, 307

Given numbers are 133, 749, 987, 126
The greatest common divisor of numbers 133, 749, 987, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 749, 987, 126 is 7.

1. What is the GCD of 133, 749, 987, 126?

GCD of given numbers 133, 749, 987, 126 is 7

2. How to calculate the greatest common divisor of 133, 749, 987, 126?

We can find the highest common divisor of 133, 749, 987, 126 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 133, 749, 987, 126 i.e 7.

3. How can I use the GCD of 133, 749, 987, 126Calculator?

Out the numbers 133, 749, 987, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.