Each of their square roots are prime numbers and each have only 3 factors
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4, 9, 25, 49 4 has 1, 2, 4 9 has 1, 3, 9 25 has 1, 5, 25 49 has 1, 7, 49
GCF - Greatest Common Factor. The factors (integers that multiply to make) of 49 are 1 * 49, 7 * 7 Factors of 9 are 1 * 9, 3 * 3. Which factors do both numbers have in common? ... Just 1. This means the GCF of 49 & 9 is 1. IN fact, it's the ONLY common factor of 49 & 9, not just the greatest. Try this one on your own: GCF of 25 and 75. Hint: Factors of 25 -- 1, 25. 5, 5. Hint: Factors of 50 -- 1, 50. 2, 25. 5, 10. Which factors of 25 and 50 are in common? Of these common factors, which is the greatest? (GCF)
The LCD of 4/9 and 1/3 is 9. 4/9 - 3/9 = 1/9
So you're adding 3, 5, 7, 9, 11 etc 1, 4, 9, 16, 25, 36, 49
It's a sequence- 1x1=1, 2x2=4, 3x3=9, 4x4=16, 5x5=25, 6x6=36, 7x7=49,,,,,,,,,,, 1,4,9,16,25,36,49,,,,,,,,,,,