32 and 90 determine the HCF of following numbers by prime factorisation method
i am make you branliest
Answers
Answer:
lineCalculator.Guru
LCM Calculator GCF Calculator GCD Calculator LCM of Two or More Numbers Calculator GCF of Two or More Numbers Calculator Factoring Calculator Prime Factorisation Calculator HCF Using Euclid's division lemma Calculator Factor Tree Calculator LCM of Decimals Calculator GCF of Decimals Calculator GCF of Fractions Calculator LCM of Fractions Calculator GCF and LCM Calculator
HCF of 90, 32 using Euclid's algorithm
HCF of 90, 32 by Euclid's Divison lemma method can be determined easily by using our free online HCF using Euclid's Divison Lemma Calculator and get the result in a fraction of seconds ie., 2 the largest factor that exactly divides the numbers with r=0.
Highest common factor (HCF) of 90, 32 is 2.
HCF(90, 32) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
HCF of
HCF of
90, 32
Determining HCF of Numbers 90,32 by Euclid's Division Lemma
Below detailed show work will make you learn how to find HCF of 90,32 using the Euclidean division algorithm. So, follow the step by step explanation & check the answer for HCF(90,32).
Here 90 is greater than 32
Now, consider the largest number as 'a' from the given number ie., 90 and 32 satisfy Euclid's division lemma statement a = bq + r where 0 ≤ r < b
Step 1: Since 90 > 32, we apply the division lemma to 90 and 32, to get
90 = 32 x 2 + 26
Step 2: Since the reminder 32 ≠ 0, we apply division lemma to 26 and 32, to get
32 = 26 x 1 + 6
Step 3: We consider the new divisor 26 and the new remainder 6, and apply the division lemma to get
26 = 6 x 4 + 2
We consider the new divisor 6 and the new remainder 2, and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 90 and 32 is 2
Notice that 2 = HCF(6,2) = HCF(26,6) = HCF(32,26) = HCF(90,32) .
Therefore, HCF of 90,32 using Euclid's division lemma is 2.
Step-by-step explanation:
make me brilliant
By prime factorisation method
32=2×2×2×2×2 and
90=2×5×3×3
therefore, HCF of 32 and 90 is 2