GCD of 356, 612, 762, 980 Calculator

Given Input numbers are 356, 612, 762, 980

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (356, 612, 762, 980) = 2.

Given numbers are 356, 612, 762, 980

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 762 are 2 x 3 x 127

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 356, 612, 762, 980 is 2.

Given numbers are 356, 612, 762, 980

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

Apply this formula for all numbers.

Step1:

LCM(356, 612) = 54468

GCD(356, 612) = ( 356 x 612 ) / 54468

= 356 / 612

= 356

Step2:

LCM(4, 762) = 1524

GCD(4, 762) = ( 4 x 762 ) / 1524

= 4 / 762

= 4

Step3:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

So, Greatest Common Divisor of 356, 612, 762, 980 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 576, 465, 463
• GCD of 696, 907, 431, 876
• GCD of 346, 969, 485, 655
• GCD of 829, 539, 500, 622
• GCD of 928, 804, 997, 479

Given numbers are 356, 612, 762, 980
The greatest common divisor of numbers 356, 612, 762, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 612, 762, 980 is 2.

1. What is the GCD of 356, 612, 762, 980?

GCD of given numbers 356, 612, 762, 980 is 2

2. How to calculate the greatest common divisor of 356, 612, 762, 980?

We can find the highest common divisor of 356, 612, 762, 980 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 356, 612, 762, 980 i.e 2.

3. How can I use the GCD of 356, 612, 762, 980Calculator?

Out the numbers 356, 612, 762, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.