Highest Common Factor of 3026, 4361 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 3026, 4361 i.e. 89 the largest integer that leaves a remainder zero for all numbers.
HCF of 3026, 4361 is 89 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 3026, 4361 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 3026, 4361 is 89.
HCF(3026, 4361) = 89
HCF of 3026, 4361 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3026, 4361 is 89.
Highest Common Factor of 3026,4361 is 89
Step 1: Since 4361 > 3026, we apply the division lemma to 4361 and 3026, to get
4361 = 3026 x 1 + 1335
Step 2: Since the reminder 3026 ≠ 0, we apply division lemma to 1335 and 3026, to get
3026 = 1335 x 2 + 356
Step 3: We consider the new divisor 1335 and the new remainder 356, and apply the division lemma to get
1335 = 356 x 3 + 267
We consider the new divisor 356 and the new remainder 267,and apply the division lemma to get
356 = 267 x 1 + 89
We consider the new divisor 267 and the new remainder 89,and apply the division lemma to get
267 = 89 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 89, the HCF of 3026 and 4361 is 89
Notice that 89 = HCF(267,89) = HCF(356,267) = HCF(1335,356) = HCF(3026,1335) = HCF(4361,3026) .
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Frequently Asked Questions on HCF of 3026, 4361 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 3026, 4361?
Answer: HCF of 3026, 4361 is 89 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3026, 4361 using Euclid's Algorithm?
Answer: For arbitrary numbers 3026, 4361 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.