Highest Common Factor of 5026, 3459 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 5026, 3459 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5026, 3459 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 5026, 3459 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 5026, 3459 is 1.
HCF(5026, 3459) = 1
HCF of 5026, 3459 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5026, 3459 is 1.
Highest Common Factor of 5026,3459 is 1
Step 1: Since 5026 > 3459, we apply the division lemma to 5026 and 3459, to get
5026 = 3459 x 1 + 1567
Step 2: Since the reminder 3459 ≠ 0, we apply division lemma to 1567 and 3459, to get
3459 = 1567 x 2 + 325
Step 3: We consider the new divisor 1567 and the new remainder 325, and apply the division lemma to get
1567 = 325 x 4 + 267
We consider the new divisor 325 and the new remainder 267,and apply the division lemma to get
325 = 267 x 1 + 58
We consider the new divisor 267 and the new remainder 58,and apply the division lemma to get
267 = 58 x 4 + 35
We consider the new divisor 58 and the new remainder 35,and apply the division lemma to get
58 = 35 x 1 + 23
We consider the new divisor 35 and the new remainder 23,and apply the division lemma to get
35 = 23 x 1 + 12
We consider the new divisor 23 and the new remainder 12,and apply the division lemma to get
23 = 12 x 1 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5026 and 3459 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(23,12) = HCF(35,23) = HCF(58,35) = HCF(267,58) = HCF(325,267) = HCF(1567,325) = HCF(3459,1567) = HCF(5026,3459) .
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Frequently Asked Questions on HCF of 5026, 3459 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 5026, 3459?
Answer: HCF of 5026, 3459 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5026, 3459 using Euclid's Algorithm?
Answer: For arbitrary numbers 5026, 3459 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.