Highest Common Factor of 163, 587, 558 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 163, 587, 558 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 163, 587, 558 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 163, 587, 558 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 163, 587, 558 is 1.
HCF(163, 587, 558) = 1
HCF of 163, 587, 558 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 163, 587, 558 is 1.
Highest Common Factor of 163,587,558 is 1
Step 1: Since 587 > 163, we apply the division lemma to 587 and 163, to get
587 = 163 x 3 + 98
Step 2: Since the reminder 163 ≠ 0, we apply division lemma to 98 and 163, to get
163 = 98 x 1 + 65
Step 3: We consider the new divisor 98 and the new remainder 65, and apply the division lemma to get
98 = 65 x 1 + 33
We consider the new divisor 65 and the new remainder 33,and apply the division lemma to get
65 = 33 x 1 + 32
We consider the new divisor 33 and the new remainder 32,and apply the division lemma to get
33 = 32 x 1 + 1
We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 163 and 587 is 1
Notice that 1 = HCF(32,1) = HCF(33,32) = HCF(65,33) = HCF(98,65) = HCF(163,98) = HCF(587,163) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 558 > 1, we apply the division lemma to 558 and 1, to get
558 = 1 x 558 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 558 is 1
Notice that 1 = HCF(558,1) .
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Frequently Asked Questions on HCF of 163, 587, 558 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 163, 587, 558?
Answer: HCF of 163, 587, 558 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 163, 587, 558 using Euclid's Algorithm?
Answer: For arbitrary numbers 163, 587, 558 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.