Highest Common Factor of 805, 161, 538 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 805, 161, 538 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 805, 161, 538 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 805, 161, 538 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 805, 161, 538 is 1.
HCF(805, 161, 538) = 1
HCF of 805, 161, 538 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 805, 161, 538 is 1.
Highest Common Factor of 805,161,538 is 1
Step 1: Since 805 > 161, we apply the division lemma to 805 and 161, to get
805 = 161 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 161, the HCF of 805 and 161 is 161
Notice that 161 = HCF(805,161) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 538 > 161, we apply the division lemma to 538 and 161, to get
538 = 161 x 3 + 55
Step 2: Since the reminder 161 ≠ 0, we apply division lemma to 55 and 161, to get
161 = 55 x 2 + 51
Step 3: We consider the new divisor 55 and the new remainder 51, and apply the division lemma to get
55 = 51 x 1 + 4
We consider the new divisor 51 and the new remainder 4,and apply the division lemma to get
51 = 4 x 12 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 161 and 538 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(51,4) = HCF(55,51) = HCF(161,55) = HCF(538,161) .
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Frequently Asked Questions on HCF of 805, 161, 538 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 805, 161, 538?
Answer: HCF of 805, 161, 538 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 805, 161, 538 using Euclid's Algorithm?
Answer: For arbitrary numbers 805, 161, 538 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.