Highest Common Factor of 429, 266, 338 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 429, 266, 338 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 429, 266, 338 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 429, 266, 338 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 429, 266, 338 is 1.
HCF(429, 266, 338) = 1
HCF of 429, 266, 338 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 429, 266, 338 is 1.
Highest Common Factor of 429,266,338 is 1
Step 1: Since 429 > 266, we apply the division lemma to 429 and 266, to get
429 = 266 x 1 + 163
Step 2: Since the reminder 266 ≠ 0, we apply division lemma to 163 and 266, to get
266 = 163 x 1 + 103
Step 3: We consider the new divisor 163 and the new remainder 103, and apply the division lemma to get
163 = 103 x 1 + 60
We consider the new divisor 103 and the new remainder 60,and apply the division lemma to get
103 = 60 x 1 + 43
We consider the new divisor 60 and the new remainder 43,and apply the division lemma to get
60 = 43 x 1 + 17
We consider the new divisor 43 and the new remainder 17,and apply the division lemma to get
43 = 17 x 2 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 429 and 266 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(43,17) = HCF(60,43) = HCF(103,60) = HCF(163,103) = HCF(266,163) = HCF(429,266) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 338 > 1, we apply the division lemma to 338 and 1, to get
338 = 1 x 338 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 338 is 1
Notice that 1 = HCF(338,1) .
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Frequently Asked Questions on HCF of 429, 266, 338 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 429, 266, 338?
Answer: HCF of 429, 266, 338 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 429, 266, 338 using Euclid's Algorithm?
Answer: For arbitrary numbers 429, 266, 338 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.