Question

Find the hcf of 1860 and 2015​

Answer 1

Answer:

euclids division lemma

Step-by-step explanation:

Hi,

Euclid's division lemma:

Given positive numbers a and b ,

there exist whole numbers q and r

satisfying ,

a = bq + r ,

0 ≤ r < b

Applying Euclid's division lemma to

2015 and 1860, we get

2015 = 1860 × 1 + 155

1860 = 155 × 12 + 0

Notice that the remainder has

become zero,

and we claim that the HCF of 1860,

and 2015 is divisor at this stage is ,

i.e 155.

HCF(1860,2015) = 155

I hope this helps you.

Answer 2

☘️ Solution:-

Let,

a = 2015 & b = 1860

By Euclid's Division Lemme

• a = b×q+r

→ 2015 = 1860×1+155

→ 1860 = 155×12+0

• HCF of 1860 & 205 ☞ $\Large{\red{\bold{155}}}$

$\boxed{\tt{@MrMonarque}}$

Hope It Helps You ✌️