Highest Common Factor of 438, 712, 163, 466 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 438, 712, 163, 466 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 438, 712, 163, 466 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 438, 712, 163, 466 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 438, 712, 163, 466 is 1.
HCF(438, 712, 163, 466) = 1
HCF of 438, 712, 163, 466 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 438, 712, 163, 466 is 1.
Highest Common Factor of 438,712,163,466 is 1
Step 1: Since 712 > 438, we apply the division lemma to 712 and 438, to get
712 = 438 x 1 + 274
Step 2: Since the reminder 438 ≠ 0, we apply division lemma to 274 and 438, to get
438 = 274 x 1 + 164
Step 3: We consider the new divisor 274 and the new remainder 164, and apply the division lemma to get
274 = 164 x 1 + 110
We consider the new divisor 164 and the new remainder 110,and apply the division lemma to get
164 = 110 x 1 + 54
We consider the new divisor 110 and the new remainder 54,and apply the division lemma to get
110 = 54 x 2 + 2
We consider the new divisor 54 and the new remainder 2,and apply the division lemma to get
54 = 2 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 438 and 712 is 2
Notice that 2 = HCF(54,2) = HCF(110,54) = HCF(164,110) = HCF(274,164) = HCF(438,274) = HCF(712,438) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 163 > 2, we apply the division lemma to 163 and 2, to get
163 = 2 x 81 + 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 163 is 1
Notice that 1 = HCF(2,1) = HCF(163,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 466 > 1, we apply the division lemma to 466 and 1, to get
466 = 1 x 466 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 466 is 1
Notice that 1 = HCF(466,1) .
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Frequently Asked Questions on HCF of 438, 712, 163, 466 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 438, 712, 163, 466?
Answer: HCF of 438, 712, 163, 466 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 438, 712, 163, 466 using Euclid's Algorithm?
Answer: For arbitrary numbers 438, 712, 163, 466 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.