Highest Common Factor of 438, 161, 404 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, 161, 404 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 438, 161, 404 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, 161, 404 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, 161, 404 is 1.
HCF(438, 161, 404) = 1
HCF of 438, 161, 404 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, 161, 404 is 1.
Highest Common Factor of 438,161,404 is 1
Step 1: Since 438 > 161, we apply the division lemma to 438 and 161, to get
438 = 161 x 2 + 116
Step 2: Since the reminder 161 ≠ 0, we apply division lemma to 116 and 161, to get
161 = 116 x 1 + 45
Step 3: We consider the new divisor 116 and the new remainder 45, and apply the division lemma to get
116 = 45 x 2 + 26
We consider the new divisor 45 and the new remainder 26,and apply the division lemma to get
45 = 26 x 1 + 19
We consider the new divisor 26 and the new remainder 19,and apply the division lemma to get
26 = 19 x 1 + 7
We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get
19 = 7 x 2 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 438 and 161 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(26,19) = HCF(45,26) = HCF(116,45) = HCF(161,116) = HCF(438,161) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 404 > 1, we apply the division lemma to 404 and 1, to get
404 = 1 x 404 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 404 is 1
Notice that 1 = HCF(404,1) .
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Frequently Asked Questions on HCF of 438, 161, 404 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, 161, 404?
Answer: HCF of 438, 161, 404 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 438, 161, 404 using Euclid's Algorithm?
Answer: For arbitrary numbers 438, 161, 404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.