Highest Common Factor of 467, 6666, 3462 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, 6666, 3462 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 467, 6666, 3462 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, 6666, 3462 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, 6666, 3462 is 1.
HCF(467, 6666, 3462) = 1
HCF of 467, 6666, 3462 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, 6666, 3462 is 1.
Highest Common Factor of 467,6666,3462 is 1
Step 1: Since 6666 > 467, we apply the division lemma to 6666 and 467, to get
6666 = 467 x 14 + 128
Step 2: Since the reminder 467 ≠ 0, we apply division lemma to 128 and 467, to get
467 = 128 x 3 + 83
Step 3: We consider the new divisor 128 and the new remainder 83, and apply the division lemma to get
128 = 83 x 1 + 45
We consider the new divisor 83 and the new remainder 45,and apply the division lemma to get
83 = 45 x 1 + 38
We consider the new divisor 45 and the new remainder 38,and apply the division lemma to get
45 = 38 x 1 + 7
We consider the new divisor 38 and the new remainder 7,and apply the division lemma to get
38 = 7 x 5 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 467 and 6666 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(38,7) = HCF(45,38) = HCF(83,45) = HCF(128,83) = HCF(467,128) = HCF(6666,467) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3462 > 1, we apply the division lemma to 3462 and 1, to get
3462 = 1 x 3462 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3462 is 1
Notice that 1 = HCF(3462,1) .
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Frequently Asked Questions on HCF of 467, 6666, 3462 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, 6666, 3462?
Answer: HCF of 467, 6666, 3462 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 467, 6666, 3462 using Euclid's Algorithm?
Answer: For arbitrary numbers 467, 6666, 3462 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.