Highest Common Factor of 538, 468, 29 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 538, 468, 29 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 538, 468, 29 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 538, 468, 29 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 538, 468, 29 is 1.
HCF(538, 468, 29) = 1
HCF of 538, 468, 29 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 538, 468, 29 is 1.
Highest Common Factor of 538,468,29 is 1
Step 1: Since 538 > 468, we apply the division lemma to 538 and 468, to get
538 = 468 x 1 + 70
Step 2: Since the reminder 468 ≠ 0, we apply division lemma to 70 and 468, to get
468 = 70 x 6 + 48
Step 3: We consider the new divisor 70 and the new remainder 48, and apply the division lemma to get
70 = 48 x 1 + 22
We consider the new divisor 48 and the new remainder 22,and apply the division lemma to get
48 = 22 x 2 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 538 and 468 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(48,22) = HCF(70,48) = HCF(468,70) = HCF(538,468) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 29 > 2, we apply the division lemma to 29 and 2, to get
29 = 2 x 14 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 29 is 1
Notice that 1 = HCF(2,1) = HCF(29,2) .
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Frequently Asked Questions on HCF of 538, 468, 29 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 538, 468, 29?
Answer: HCF of 538, 468, 29 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 538, 468, 29 using Euclid's Algorithm?
Answer: For arbitrary numbers 538, 468, 29 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.