Highest Common Factor of 623, 178, 417 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 623, 178, 417 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 623, 178, 417 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 623, 178, 417 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 623, 178, 417 is 1.
HCF(623, 178, 417) = 1
HCF of 623, 178, 417 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 623, 178, 417 is 1.
Highest Common Factor of 623,178,417 is 1
Step 1: Since 623 > 178, we apply the division lemma to 623 and 178, to get
623 = 178 x 3 + 89
Step 2: Since the reminder 178 ≠ 0, we apply division lemma to 89 and 178, to get
178 = 89 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 89, the HCF of 623 and 178 is 89
Notice that 89 = HCF(178,89) = HCF(623,178) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 417 > 89, we apply the division lemma to 417 and 89, to get
417 = 89 x 4 + 61
Step 2: Since the reminder 89 ≠ 0, we apply division lemma to 61 and 89, to get
89 = 61 x 1 + 28
Step 3: We consider the new divisor 61 and the new remainder 28, and apply the division lemma to get
61 = 28 x 2 + 5
We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get
28 = 5 x 5 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 89 and 417 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(61,28) = HCF(89,61) = HCF(417,89) .
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Frequently Asked Questions on HCF of 623, 178, 417 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 623, 178, 417?
Answer: HCF of 623, 178, 417 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 623, 178, 417 using Euclid's Algorithm?
Answer: For arbitrary numbers 623, 178, 417 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
