Highest Common Factor of 2261, 3859 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 2261, 3859 i.e. 17 the largest integer that leaves a remainder zero for all numbers.
HCF of 2261, 3859 is 17 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 2261, 3859 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 2261, 3859 is 17.
HCF(2261, 3859) = 17
HCF of 2261, 3859 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2261, 3859 is 17.
Highest Common Factor of 2261,3859 is 17
Step 1: Since 3859 > 2261, we apply the division lemma to 3859 and 2261, to get
3859 = 2261 x 1 + 1598
Step 2: Since the reminder 2261 ≠ 0, we apply division lemma to 1598 and 2261, to get
2261 = 1598 x 1 + 663
Step 3: We consider the new divisor 1598 and the new remainder 663, and apply the division lemma to get
1598 = 663 x 2 + 272
We consider the new divisor 663 and the new remainder 272,and apply the division lemma to get
663 = 272 x 2 + 119
We consider the new divisor 272 and the new remainder 119,and apply the division lemma to get
272 = 119 x 2 + 34
We consider the new divisor 119 and the new remainder 34,and apply the division lemma to get
119 = 34 x 3 + 17
We consider the new divisor 34 and the new remainder 17,and apply the division lemma to get
34 = 17 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 2261 and 3859 is 17
Notice that 17 = HCF(34,17) = HCF(119,34) = HCF(272,119) = HCF(663,272) = HCF(1598,663) = HCF(2261,1598) = HCF(3859,2261) .
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Frequently Asked Questions on HCF of 2261, 3859 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 2261, 3859?
Answer: HCF of 2261, 3859 is 17 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2261, 3859 using Euclid's Algorithm?
Answer: For arbitrary numbers 2261, 3859 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.