Highest Common Factor of 3635, 8986 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 3635, 8986 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3635, 8986 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 3635, 8986 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 3635, 8986 is 1.
HCF(3635, 8986) = 1
HCF of 3635, 8986 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3635, 8986 is 1.
Highest Common Factor of 3635,8986 is 1
Step 1: Since 8986 > 3635, we apply the division lemma to 8986 and 3635, to get
8986 = 3635 x 2 + 1716
Step 2: Since the reminder 3635 ≠ 0, we apply division lemma to 1716 and 3635, to get
3635 = 1716 x 2 + 203
Step 3: We consider the new divisor 1716 and the new remainder 203, and apply the division lemma to get
1716 = 203 x 8 + 92
We consider the new divisor 203 and the new remainder 92,and apply the division lemma to get
203 = 92 x 2 + 19
We consider the new divisor 92 and the new remainder 19,and apply the division lemma to get
92 = 19 x 4 + 16
We consider the new divisor 19 and the new remainder 16,and apply the division lemma to get
19 = 16 x 1 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3635 and 8986 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(19,16) = HCF(92,19) = HCF(203,92) = HCF(1716,203) = HCF(3635,1716) = HCF(8986,3635) .
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Frequently Asked Questions on HCF of 3635, 8986 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 3635, 8986?
Answer: HCF of 3635, 8986 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3635, 8986 using Euclid's Algorithm?
Answer: For arbitrary numbers 3635, 8986 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
