Highest Common Factor of 406, 659, 468, 551 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 406, 659, 468, 551 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 406, 659, 468, 551 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 406, 659, 468, 551 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 406, 659, 468, 551 is 1.
HCF(406, 659, 468, 551) = 1
HCF of 406, 659, 468, 551 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 406, 659, 468, 551 is 1.
Highest Common Factor of 406,659,468,551 is 1
Step 1: Since 659 > 406, we apply the division lemma to 659 and 406, to get
659 = 406 x 1 + 253
Step 2: Since the reminder 406 ≠ 0, we apply division lemma to 253 and 406, to get
406 = 253 x 1 + 153
Step 3: We consider the new divisor 253 and the new remainder 153, and apply the division lemma to get
253 = 153 x 1 + 100
We consider the new divisor 153 and the new remainder 100,and apply the division lemma to get
153 = 100 x 1 + 53
We consider the new divisor 100 and the new remainder 53,and apply the division lemma to get
100 = 53 x 1 + 47
We consider the new divisor 53 and the new remainder 47,and apply the division lemma to get
53 = 47 x 1 + 6
We consider the new divisor 47 and the new remainder 6,and apply the division lemma to get
47 = 6 x 7 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 406 and 659 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(47,6) = HCF(53,47) = HCF(100,53) = HCF(153,100) = HCF(253,153) = HCF(406,253) = HCF(659,406) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 468 > 1, we apply the division lemma to 468 and 1, to get
468 = 1 x 468 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 468 is 1
Notice that 1 = HCF(468,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 551 > 1, we apply the division lemma to 551 and 1, to get
551 = 1 x 551 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 551 is 1
Notice that 1 = HCF(551,1) .
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Frequently Asked Questions on HCF of 406, 659, 468, 551 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 406, 659, 468, 551?
Answer: HCF of 406, 659, 468, 551 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 406, 659, 468, 551 using Euclid's Algorithm?
Answer: For arbitrary numbers 406, 659, 468, 551 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.