Highest Common Factor of 3933, 9633, 36927 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 3933, 9633, 36927 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3933, 9633, 36927 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 3933, 9633, 36927 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 3933, 9633, 36927 is 3.
HCF(3933, 9633, 36927) = 3
HCF of 3933, 9633, 36927 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3933, 9633, 36927 is 3.
Highest Common Factor of 3933,9633,36927 is 3
Step 1: Since 9633 > 3933, we apply the division lemma to 9633 and 3933, to get
9633 = 3933 x 2 + 1767
Step 2: Since the reminder 3933 ≠ 0, we apply division lemma to 1767 and 3933, to get
3933 = 1767 x 2 + 399
Step 3: We consider the new divisor 1767 and the new remainder 399, and apply the division lemma to get
1767 = 399 x 4 + 171
We consider the new divisor 399 and the new remainder 171,and apply the division lemma to get
399 = 171 x 2 + 57
We consider the new divisor 171 and the new remainder 57,and apply the division lemma to get
171 = 57 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 57, the HCF of 3933 and 9633 is 57
Notice that 57 = HCF(171,57) = HCF(399,171) = HCF(1767,399) = HCF(3933,1767) = HCF(9633,3933) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36927 > 57, we apply the division lemma to 36927 and 57, to get
36927 = 57 x 647 + 48
Step 2: Since the reminder 57 ≠ 0, we apply division lemma to 48 and 57, to get
57 = 48 x 1 + 9
Step 3: We consider the new divisor 48 and the new remainder 9, and apply the division lemma to get
48 = 9 x 5 + 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 57 and 36927 is 3
Notice that 3 = HCF(9,3) = HCF(48,9) = HCF(57,48) = HCF(36927,57) .
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Frequently Asked Questions on HCF of 3933, 9633, 36927 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 3933, 9633, 36927?
Answer: HCF of 3933, 9633, 36927 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3933, 9633, 36927 using Euclid's Algorithm?
Answer: For arbitrary numbers 3933, 9633, 36927 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.