Highest Common Factor of 467, 661, 20 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, 661, 20 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 467, 661, 20 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, 661, 20 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, 661, 20 is 1.
HCF(467, 661, 20) = 1
HCF of 467, 661, 20 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, 661, 20 is 1.
Highest Common Factor of 467,661,20 is 1
Step 1: Since 661 > 467, we apply the division lemma to 661 and 467, to get
661 = 467 x 1 + 194
Step 2: Since the reminder 467 ≠ 0, we apply division lemma to 194 and 467, to get
467 = 194 x 2 + 79
Step 3: We consider the new divisor 194 and the new remainder 79, and apply the division lemma to get
194 = 79 x 2 + 36
We consider the new divisor 79 and the new remainder 36,and apply the division lemma to get
79 = 36 x 2 + 7
We consider the new divisor 36 and the new remainder 7,and apply the division lemma to get
36 = 7 x 5 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 467 and 661 is 1
Notice that 1 = HCF(7,1) = HCF(36,7) = HCF(79,36) = HCF(194,79) = HCF(467,194) = HCF(661,467) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 20 > 1, we apply the division lemma to 20 and 1, to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 20 is 1
Notice that 1 = HCF(20,1) .
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Frequently Asked Questions on HCF of 467, 661, 20 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, 661, 20?
Answer: HCF of 467, 661, 20 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 467, 661, 20 using Euclid's Algorithm?
Answer: For arbitrary numbers 467, 661, 20 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.