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- Find the GCF and LCM of each pair given as prime powers.2^3 \cdot 5^2 and 2^2 \cdot 5 \cdot 73^4 \cdot 7 and 3^2 \cdot 7^32 \cdot 3^2 \cdot 13 and 2^3 \cdot 3 \cdot 115^3 and 2^4 \cdot 3
- Write 198 and 180 as products of primes, then find their GCF and LCM.
- Find the GCF and LCM of 48, 72 and 120 from their prime factorizations.
- Check Sarah's LCM of 150 and 196 and fix any mistake.
- Find GCF(270, 630) and list all their common factors.
- Use the product rule to test each student's claimed GCF and LCM.
- Word problem: Priya's honey jars packed in cases of 24 or of 45.
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Finding them from prime factorizations: the lesson ›More Chapter 1 worksheets: Factors, multiples, GCF and LCM
- 1.1Tests for three and nine
- 1.2The sieve of Eratosthenes
- 1.3Prime factorization
- 1.4Every number has exactly one prime factorization
- 1.5Greatest common factor by listing
- 1.6Least common multiple by listing
- 1.7Finding them from prime factorizations
- 1.8Perfect, abundant, deficient and amicable numbers