For each of the following pairs, write a and b in standard form and use these factorizations to find (a, b) and [a, b].a=1400, b = 980

UkusakazaL

UkusakazaL

Answered question

2021-05-18

For each of the following pairs, write a and b in standard form and use these factorizations to find (a, b) and [a, b].
a=1400,b=980

Answer & Explanation

Brittany Patton

Brittany Patton

Skilled2021-05-19Added 100 answers

Step 1
Given, a=1400,b=980
a=1400=14×100
=2×7×(10)2
=2×7×(5×2)2
=23×52×7
b=980=22×5×72
Step 2
So,(a,b)=(1400,980)
=22×51×71
(a,b)=140
[a,b]=23×53×72
[a,b]=9800

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