Question

HELLO

MATHS EXPERTS ♥️ ❤️ ♥️ ❤️

NOTE >Solve both questions
Solve these questions with process

Right answer will mark as brainlist

❎ ❎ Don't spam ❎ ❎ ​

Answer 1

2.

4×27×3125

8×9×25×7

16×81×5×11×49

HCF=Highest Common Factor.

Factor=A Number By Which something is Completely Divisible.

Let Take Number 5 and 25

By Which Number it is Completely Divisible?

It is 5

Let Take 26 and 39

It will be completely Divisible by 13.

So 13 is its Factor.

Now Back To Question.

4×27×3125

⬇️

${2}^{2} \times {3}^{3} \times {5}^{5}$

8×9×25×7

⬇️

${2}^{3} \times {3}^{2} \times {5}^{2} \times 7$

16×81×5×11×49

⬇️

${2}^{4} \times {3}^{4} \times 5 \times 11 \times {7}^{2}$

Now Find Common Number Between them

2²×3²×5

These Numbers product can divide all three completely .And That is its HCF.

HCF=2²×3²×5

=4×9×5

=180

HCF=180

3.

${2}^{8} \times {3}^{7} \times {5}^{5}$

${2}^{3} \times {3}^{4} \times {5}^{2} \times {7}^{2}$

${2}^{4} \times {3}^{4} \times {5}^{2} \times {7}^{2} \times 11$

Value common in all three terms

${2}^{3} \times {3}^{4} \times {5}^{2}$

These Numbers product can divide all three completely .And That is its HCF.

2³×3⁴×5²

8×81×25

648×25

16200

HCF=16200

Answer 2

2. Find the HCF of 4 × 27 × 3125, 8 × 9 × 25 × 7 and 16 × 81 × 5 × 11 × 49.

Answer :

 

4 × 27 × 3125 = 2² × 3³ × 5⁵

8 × 9 × 25 × 7 = 2³ × 3² × 5² × 7

16 × 81 × 5 × 11 × 49 = 2⁴ × 3⁴ × 5 × 7² × 11

Now,

see the common number between three and look the smallest power

So,

∴ HCF of 4 × 27 × 3125, 8 × 9 × 25 × 7 and 16 × 81 × 5 × 11 × 49 is

= 2² × 3² × 5 = 180

________________________________

3. Find the HCF of 2⁸ × 3⁷ × 5⁵, 2³ × 3⁴ × 5² × 7² and 2⁴ × 3⁴ × 5² × 7² × 11.

Answer :

2⁸ × 3⁷ × 5⁵

2³ × 3⁴ × 5² × 7²

2⁴ × 3⁴ × 5² × 7² × 11.

see the common number between three and look the smallest power

∴ HCF of 2⁸ × 3⁷ × 5⁵, 2³ × 3⁴ × 5² × 7² and 2⁴ × 3⁴ × 5² × 7² × 11 is

= 2³ × 3⁴ × 5² = 16200