If x=3^{127} \times 5^{121} \times 7^{16} y=3^{128} \times 5^{119} \times 7^{21} and z=3^{126} \times 5^{120} \times 7^{19}, then HCF of x, y and z is

Correct Answer is : 3126×5119×716

3^{127} \times 5^{119} \times 7^{19}

3^{128} \times 5^{120} \times 7^{16}

3^{126} \times 5^{119} \times 7^{16}

3^{126} \times 5^{120} \times 7^{16}

CTET 2 Math and Science 7 Jan 2022 Paper

Question : 33 of 150

Marks: +1, -0

x=3^{127} × 5^{121} × 7^{16}

y=3^{128} × 5^{119} × 7^{21}

and

z=3^{126} × 5^{120} × 7^{19}

,
then HCF of

x, y

and

z

Solution:

x=3^{126} × 3 × 5^{119} × 5^2 × 7^{16}

y=3^{126} × 3^2 × 5^{119} × 7^{16} × 7^5

z=3^{126} × 5^{119} × 5 × 7^{16} × 7^3

So,

{\HCF}=3^{126} × 5^{119} × 7^{16}

∴

Required HCF is

3^{126} × 5^{119} × 7^{16}

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