Highest Common Factor of 558, 632, 386 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 558, 632, 386 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 558, 632, 386 is 2 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 558, 632, 386 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 558, 632, 386 is 2.
HCF(558, 632, 386) = 2
HCF of 558, 632, 386 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 558, 632, 386 is 2.
Highest Common Factor of 558,632,386 is 2
Step 1: Since 632 > 558, we apply the division lemma to 632 and 558, to get
632 = 558 x 1 + 74
Step 2: Since the reminder 558 ≠ 0, we apply division lemma to 74 and 558, to get
558 = 74 x 7 + 40
Step 3: We consider the new divisor 74 and the new remainder 40, and apply the division lemma to get
74 = 40 x 1 + 34
We consider the new divisor 40 and the new remainder 34,and apply the division lemma to get
40 = 34 x 1 + 6
We consider the new divisor 34 and the new remainder 6,and apply the division lemma to get
34 = 6 x 5 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 558 and 632 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(34,6) = HCF(40,34) = HCF(74,40) = HCF(558,74) = HCF(632,558) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 386 > 2, we apply the division lemma to 386 and 2, to get
386 = 2 x 193 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 386 is 2
Notice that 2 = HCF(386,2) .
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Frequently Asked Questions on HCF of 558, 632, 386 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 558, 632, 386?
Answer: HCF of 558, 632, 386 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 558, 632, 386 using Euclid's Algorithm?
Answer: For arbitrary numbers 558, 632, 386 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.