Find the lcm and hcf of 69 and 207
Answers
Answer:
The below workout with step by step calculation shows how to simplify the fraction 69/207 to its lowest term or simplest form. The below are the two methods used to convert the fraction to its lowest terms.
1. GCD or HCF method
2. Prime factorization method
GCD Method :
step 1 Address the formula, input parameters & values.
Input parameters & values:
The given fraction = 69/207
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 69 & 207 is 69
step 3 divide the numerator & denominator by GCD 69 and rewrite the fraction
= (69/69) / (207/69)
= 1/3
Thus, 1/3 is the simplified fraction for 69/207 by using the GCD or HCF method.
Prime Factorization Method :
step 1 Address input parameters & values.
Input parameters & values:
The given fraction = 69/207
step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 69 = 3 x 23
Prime factors for 207 = 3 x 3 x 23
= (3 x 23) / (3 x 3 x 23)
step 3 solve & rewrite the fraction
= (1)/( 3 )
= 1/3
Thus, 1/3 is the simplified fraction for 69/207 by using the prime factorization method.
Step-by-step explanation:
(HCF =3 x 23).,(LCM=3 x 23 x 3)