Highest Common Factor of 467, 9656, 5500 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 467, 9656, 5500 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 467, 9656, 5500 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 467, 9656, 5500 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 467, 9656, 5500 is 1.
HCF(467, 9656, 5500) = 1
HCF of 467, 9656, 5500 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 467, 9656, 5500 is 1.
Highest Common Factor of 467,9656,5500 is 1
Step 1: Since 9656 > 467, we apply the division lemma to 9656 and 467, to get
9656 = 467 x 20 + 316
Step 2: Since the reminder 467 ≠ 0, we apply division lemma to 316 and 467, to get
467 = 316 x 1 + 151
Step 3: We consider the new divisor 316 and the new remainder 151, and apply the division lemma to get
316 = 151 x 2 + 14
We consider the new divisor 151 and the new remainder 14,and apply the division lemma to get
151 = 14 x 10 + 11
We consider the new divisor 14 and the new remainder 11,and apply the division lemma to get
14 = 11 x 1 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 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 467 and 9656 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(151,14) = HCF(316,151) = HCF(467,316) = HCF(9656,467) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5500 > 1, we apply the division lemma to 5500 and 1, to get
5500 = 1 x 5500 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5500 is 1
Notice that 1 = HCF(5500,1) .
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Frequently Asked Questions on HCF of 467, 9656, 5500 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 467, 9656, 5500?
Answer: HCF of 467, 9656, 5500 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 467, 9656, 5500 using Euclid's Algorithm?
Answer: For arbitrary numbers 467, 9656, 5500 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
