Highest Common Factor of 3551, 4026 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 3551, 4026 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3551, 4026 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 3551, 4026 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 3551, 4026 is 1.
HCF(3551, 4026) = 1
HCF of 3551, 4026 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3551, 4026 is 1.
Highest Common Factor of 3551,4026 is 1
Step 1: Since 4026 > 3551, we apply the division lemma to 4026 and 3551, to get
4026 = 3551 x 1 + 475
Step 2: Since the reminder 3551 ≠ 0, we apply division lemma to 475 and 3551, to get
3551 = 475 x 7 + 226
Step 3: We consider the new divisor 475 and the new remainder 226, and apply the division lemma to get
475 = 226 x 2 + 23
We consider the new divisor 226 and the new remainder 23,and apply the division lemma to get
226 = 23 x 9 + 19
We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get
23 = 19 x 1 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3551 and 4026 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(226,23) = HCF(475,226) = HCF(3551,475) = HCF(4026,3551) .
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Frequently Asked Questions on HCF of 3551, 4026 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 3551, 4026?
Answer: HCF of 3551, 4026 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3551, 4026 using Euclid's Algorithm?
Answer: For arbitrary numbers 3551, 4026 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.