GCD of 980, 735, 155, 700 Calculator

Given Input numbers are 980, 735, 155, 700

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

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 155 :

The positive integer divisors of 155 that completely divides 155 are.

1, 5, 31, 155

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (980, 735, 155, 700) = 5.

Given numbers are 980, 735, 155, 700

The list of prime factors of all numbers are

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

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 155 are 5 x 31

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 980, 735, 155, 700 is 5.

Given numbers are 980, 735, 155, 700

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

Apply this formula for all numbers.

Step1:

LCM(980, 735) = 2940

GCD(980, 735) = ( 980 x 735 ) / 2940

= 980 / 735

= 980

Step2:

LCM(245, 155) = 7595

GCD(245, 155) = ( 245 x 155 ) / 7595

= 245 / 155

= 245

Step3:

LCM(5, 700) = 700

GCD(5, 700) = ( 5 x 700 ) / 700

= 5 / 700

= 5

So, Greatest Common Divisor of 980, 735, 155, 700 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 423, 236, 556
• GCD of 229, 972, 853, 666
• GCD of 576, 525, 704, 601
• GCD of 638, 162, 580, 476
• GCD of 976, 127, 242, 932

Given numbers are 980, 735, 155, 700
The greatest common divisor of numbers 980, 735, 155, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 735, 155, 700 is 5.

1. What is the GCD of 980, 735, 155, 700?

GCD of given numbers 980, 735, 155, 700 is 5

2. How to calculate the greatest common divisor of 980, 735, 155, 700?

We can find the highest common divisor of 980, 735, 155, 700 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 980, 735, 155, 700 i.e 5.

3. How can I use the GCD of 980, 735, 155, 700Calculator?

Out the numbers 980, 735, 155, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.