Highest Common Factor of 8610, 3598 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 8610, 3598 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 8610, 3598 is 14 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 8610, 3598 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 8610, 3598 is 14.
HCF(8610, 3598) = 14
HCF of 8610, 3598 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8610, 3598 is 14.
Highest Common Factor of 8610,3598 is 14
Step 1: Since 8610 > 3598, we apply the division lemma to 8610 and 3598, to get
8610 = 3598 x 2 + 1414
Step 2: Since the reminder 3598 ≠ 0, we apply division lemma to 1414 and 3598, to get
3598 = 1414 x 2 + 770
Step 3: We consider the new divisor 1414 and the new remainder 770, and apply the division lemma to get
1414 = 770 x 1 + 644
We consider the new divisor 770 and the new remainder 644,and apply the division lemma to get
770 = 644 x 1 + 126
We consider the new divisor 644 and the new remainder 126,and apply the division lemma to get
644 = 126 x 5 + 14
We consider the new divisor 126 and the new remainder 14,and apply the division lemma to get
126 = 14 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 8610 and 3598 is 14
Notice that 14 = HCF(126,14) = HCF(644,126) = HCF(770,644) = HCF(1414,770) = HCF(3598,1414) = HCF(8610,3598) .
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Frequently Asked Questions on HCF of 8610, 3598 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 8610, 3598?
Answer: HCF of 8610, 3598 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8610, 3598 using Euclid's Algorithm?
Answer: For arbitrary numbers 8610, 3598 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.