Highest Common Factor of 162, 405, 927, 900 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 162, 405, 927, 900 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 162, 405, 927, 900 is 9 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 162, 405, 927, 900 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 162, 405, 927, 900 is 9.
HCF(162, 405, 927, 900) = 9
HCF of 162, 405, 927, 900 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 162, 405, 927, 900 is 9.
Highest Common Factor of 162,405,927,900 is 9
Step 1: Since 405 > 162, we apply the division lemma to 405 and 162, to get
405 = 162 x 2 + 81
Step 2: Since the reminder 162 ≠ 0, we apply division lemma to 81 and 162, to get
162 = 81 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 81, the HCF of 162 and 405 is 81
Notice that 81 = HCF(162,81) = HCF(405,162) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 927 > 81, we apply the division lemma to 927 and 81, to get
927 = 81 x 11 + 36
Step 2: Since the reminder 81 ≠ 0, we apply division lemma to 36 and 81, to get
81 = 36 x 2 + 9
Step 3: We consider the new divisor 36 and the new remainder 9, and apply the division lemma to get
36 = 9 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 81 and 927 is 9
Notice that 9 = HCF(36,9) = HCF(81,36) = HCF(927,81) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 900 > 9, we apply the division lemma to 900 and 9, to get
900 = 9 x 100 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 9 and 900 is 9
Notice that 9 = HCF(900,9) .
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Frequently Asked Questions on HCF of 162, 405, 927, 900 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 162, 405, 927, 900?
Answer: HCF of 162, 405, 927, 900 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 162, 405, 927, 900 using Euclid's Algorithm?
Answer: For arbitrary numbers 162, 405, 927, 900 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
