Highest Common Factor of 8610, 3482 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, 3482 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8610, 3482 is 2 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, 3482 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, 3482 is 2.
HCF(8610, 3482) = 2
HCF of 8610, 3482 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, 3482 is 2.
Highest Common Factor of 8610,3482 is 2
Step 1: Since 8610 > 3482, we apply the division lemma to 8610 and 3482, to get
8610 = 3482 x 2 + 1646
Step 2: Since the reminder 3482 ≠ 0, we apply division lemma to 1646 and 3482, to get
3482 = 1646 x 2 + 190
Step 3: We consider the new divisor 1646 and the new remainder 190, and apply the division lemma to get
1646 = 190 x 8 + 126
We consider the new divisor 190 and the new remainder 126,and apply the division lemma to get
190 = 126 x 1 + 64
We consider the new divisor 126 and the new remainder 64,and apply the division lemma to get
126 = 64 x 1 + 62
We consider the new divisor 64 and the new remainder 62,and apply the division lemma to get
64 = 62 x 1 + 2
We consider the new divisor 62 and the new remainder 2,and apply the division lemma to get
62 = 2 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8610 and 3482 is 2
Notice that 2 = HCF(62,2) = HCF(64,62) = HCF(126,64) = HCF(190,126) = HCF(1646,190) = HCF(3482,1646) = HCF(8610,3482) .
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Frequently Asked Questions on HCF of 8610, 3482 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, 3482?
Answer: HCF of 8610, 3482 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8610, 3482 using Euclid's Algorithm?
Answer: For arbitrary numbers 8610, 3482 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.