Highest Common Factor of 636, 795, 816 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 636, 795, 816 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 636, 795, 816 is 3 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 636, 795, 816 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 636, 795, 816 is 3.
HCF(636, 795, 816) = 3
HCF of 636, 795, 816 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 636, 795, 816 is 3.
Highest Common Factor of 636,795,816 is 3
Step 1: Since 795 > 636, we apply the division lemma to 795 and 636, to get
795 = 636 x 1 + 159
Step 2: Since the reminder 636 ≠ 0, we apply division lemma to 159 and 636, to get
636 = 159 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 159, the HCF of 636 and 795 is 159
Notice that 159 = HCF(636,159) = HCF(795,636) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 816 > 159, we apply the division lemma to 816 and 159, to get
816 = 159 x 5 + 21
Step 2: Since the reminder 159 ≠ 0, we apply division lemma to 21 and 159, to get
159 = 21 x 7 + 12
Step 3: We consider the new divisor 21 and the new remainder 12, and apply the division lemma to get
21 = 12 x 1 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 159 and 816 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(21,12) = HCF(159,21) = HCF(816,159) .
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Frequently Asked Questions on HCF of 636, 795, 816 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 636, 795, 816?
Answer: HCF of 636, 795, 816 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 636, 795, 816 using Euclid's Algorithm?
Answer: For arbitrary numbers 636, 795, 816 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.