Highest Common Factor of 3623, 8598 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 3623, 8598 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3623, 8598 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 3623, 8598 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 3623, 8598 is 1.
HCF(3623, 8598) = 1
HCF of 3623, 8598 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3623, 8598 is 1.
Highest Common Factor of 3623,8598 is 1
Step 1: Since 8598 > 3623, we apply the division lemma to 8598 and 3623, to get
8598 = 3623 x 2 + 1352
Step 2: Since the reminder 3623 ≠ 0, we apply division lemma to 1352 and 3623, to get
3623 = 1352 x 2 + 919
Step 3: We consider the new divisor 1352 and the new remainder 919, and apply the division lemma to get
1352 = 919 x 1 + 433
We consider the new divisor 919 and the new remainder 433,and apply the division lemma to get
919 = 433 x 2 + 53
We consider the new divisor 433 and the new remainder 53,and apply the division lemma to get
433 = 53 x 8 + 9
We consider the new divisor 53 and the new remainder 9,and apply the division lemma to get
53 = 9 x 5 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3623 and 8598 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(53,9) = HCF(433,53) = HCF(919,433) = HCF(1352,919) = HCF(3623,1352) = HCF(8598,3623) .
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Frequently Asked Questions on HCF of 3623, 8598 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 3623, 8598?
Answer: HCF of 3623, 8598 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3623, 8598 using Euclid's Algorithm?
Answer: For arbitrary numbers 3623, 8598 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.