When 1855, 4375 and 7735 are divided by the greatest number ‘N’ the remainder in each case is ‘R’. The value of (N - R) is

- 675
- 665
- 655
- 685

Option 2 : 665

**Calculation:**

x = 1855, y = 4375, z = 7735

⇒ |x - y| = |1855 - 4375| = 2520

⇒ |x - z| = |1855 - 7735| = 5880

⇒ |y - z| = |4375 - 7735| = 3360

G.C.D of (2520, 3360, 5880) = 840

On dividing (1855, 4375, 7735) by 840. The remainder will be 175 in each case.

Here, R = 175 and N = 840

So, N - R = 840 - 175 = 665

**∴ The value of N - R is 665.**

__Additional Information__

When three numbers x, y, and z are divided by the HCF of |x - y|, |x - z|, |y - z|. The remainder will be the same in each case.

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