Highest Common Factor of 567, 729, 391 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 567, 729, 391 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 567, 729, 391 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 567, 729, 391 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 567, 729, 391 is 1.
HCF(567, 729, 391) = 1
HCF of 567, 729, 391 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 567, 729, 391 is 1.
Highest Common Factor of 567,729,391 is 1
Step 1: Since 729 > 567, we apply the division lemma to 729 and 567, to get
729 = 567 x 1 + 162
Step 2: Since the reminder 567 ≠ 0, we apply division lemma to 162 and 567, to get
567 = 162 x 3 + 81
Step 3: We consider the new divisor 162 and the new remainder 81, and apply the division lemma to get
162 = 81 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 81, the HCF of 567 and 729 is 81
Notice that 81 = HCF(162,81) = HCF(567,162) = HCF(729,567) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 391 > 81, we apply the division lemma to 391 and 81, to get
391 = 81 x 4 + 67
Step 2: Since the reminder 81 ≠ 0, we apply division lemma to 67 and 81, to get
81 = 67 x 1 + 14
Step 3: We consider the new divisor 67 and the new remainder 14, and apply the division lemma to get
67 = 14 x 4 + 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 81 and 391 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(14,11) = HCF(67,14) = HCF(81,67) = HCF(391,81) .
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Frequently Asked Questions on HCF of 567, 729, 391 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 567, 729, 391?
Answer: HCF of 567, 729, 391 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 567, 729, 391 using Euclid's Algorithm?
Answer: For arbitrary numbers 567, 729, 391 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
