GCD of 528, 742, 980, 266 Calculator

Given Input numbers are 528, 742, 980, 266

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

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

GCD of numbers is the greatest common divisor

So, the GCD (528, 742, 980, 266) = 2.

Given numbers are 528, 742, 980, 266

The list of prime factors of all numbers are

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 742 are 2 x 7 x 53

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

Prime factors of 266 are 2 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 528, 742, 980, 266 is 2.

Given numbers are 528, 742, 980, 266

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

Apply this formula for all numbers.

Step1:

LCM(528, 742) = 195888

GCD(528, 742) = ( 528 x 742 ) / 195888

= 528 / 742

= 528

Step2:

LCM(2, 980) = 980

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

= 2 / 980

= 2

Step3:

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

= 2 / 266

= 2

So, Greatest Common Divisor of 528, 742, 980, 266 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 937, 521, 562
• GCD of 152, 112, 793, 778
• GCD of 368, 612, 926, 323
• GCD of 860, 985, 369, 142
• GCD of 625, 375, 603, 841

Given numbers are 528, 742, 980, 266
The greatest common divisor of numbers 528, 742, 980, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 742, 980, 266 is 2.

1. What is the GCD of 528, 742, 980, 266?

GCD of given numbers 528, 742, 980, 266 is 2

2. How to calculate the greatest common divisor of 528, 742, 980, 266?

We can find the highest common divisor of 528, 742, 980, 266 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 528, 742, 980, 266 i.e 2.

3. How can I use the GCD of 528, 742, 980, 266Calculator?

Out the numbers 528, 742, 980, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.