Question

Find the HCF of 506 and 1155 as a linear combination of them

Answer 1

Answer:

HCF = 11 ,  16 × 506 - 7 × 1155 = 11

Step-by-step explanation:

Find the highest common factor between 506 and 1155;

We sort out individual factors,

506 = 2 × 11 × 23  

1155 = 5 × 11 × 21

The only factor common is 11.

Hence HCF( 506, 1155 ) = 11

Linear combination of the two numbers expressing their HCF is,

→  16 × 506 - 7 × 1155 = 11

Answer 2

Answer:

11

Step-by-step explanation:

HCF = highest common factor

to find HCF , first factorise both the numbers

506 = 2 * 11 * 23

1155 = 3 * 5 * 7 * 11

Now we can see that only Common factor = 11

so Highest common factor = 11

HCF = 11