Highest Common Factor of 3639, 8633 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 3639, 8633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3639, 8633 is 1 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 3639, 8633 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 3639, 8633 is 1.
HCF(3639, 8633) = 1
HCF of 3639, 8633 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3639, 8633 is 1.
Highest Common Factor of 3639,8633 is 1
Step 1: Since 8633 > 3639, we apply the division lemma to 8633 and 3639, to get
8633 = 3639 x 2 + 1355
Step 2: Since the reminder 3639 ≠ 0, we apply division lemma to 1355 and 3639, to get
3639 = 1355 x 2 + 929
Step 3: We consider the new divisor 1355 and the new remainder 929, and apply the division lemma to get
1355 = 929 x 1 + 426
We consider the new divisor 929 and the new remainder 426,and apply the division lemma to get
929 = 426 x 2 + 77
We consider the new divisor 426 and the new remainder 77,and apply the division lemma to get
426 = 77 x 5 + 41
We consider the new divisor 77 and the new remainder 41,and apply the division lemma to get
77 = 41 x 1 + 36
We consider the new divisor 41 and the new remainder 36,and apply the division lemma to get
41 = 36 x 1 + 5
We consider the new divisor 36 and the new remainder 5,and apply the division lemma to get
36 = 5 x 7 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3639 and 8633 is 1
Notice that 1 = HCF(5,1) = HCF(36,5) = HCF(41,36) = HCF(77,41) = HCF(426,77) = HCF(929,426) = HCF(1355,929) = HCF(3639,1355) = HCF(8633,3639) .
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Frequently Asked Questions on HCF of 3639, 8633 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 3639, 8633?
Answer: HCF of 3639, 8633 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3639, 8633 using Euclid's Algorithm?
Answer: For arbitrary numbers 3639, 8633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.