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 335, 529, 206 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 335, 529, 206 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 335, 529, 206 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 335, 529, 206 is 1.
HCF(335, 529, 206) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 335, 529, 206 is 1.
Step 1: Since 529 > 335, we apply the division lemma to 529 and 335, to get
529 = 335 x 1 + 194
Step 2: Since the reminder 335 ≠ 0, we apply division lemma to 194 and 335, to get
335 = 194 x 1 + 141
Step 3: We consider the new divisor 194 and the new remainder 141, and apply the division lemma to get
194 = 141 x 1 + 53
We consider the new divisor 141 and the new remainder 53,and apply the division lemma to get
141 = 53 x 2 + 35
We consider the new divisor 53 and the new remainder 35,and apply the division lemma to get
53 = 35 x 1 + 18
We consider the new divisor 35 and the new remainder 18,and apply the division lemma to get
35 = 18 x 1 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 335 and 529 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(35,18) = HCF(53,35) = HCF(141,53) = HCF(194,141) = HCF(335,194) = HCF(529,335) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 206 > 1, we apply the division lemma to 206 and 1, to get
206 = 1 x 206 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 206 is 1
Notice that 1 = HCF(206,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 335, 529, 206?
Answer: HCF of 335, 529, 206 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 335, 529, 206 using Euclid's Algorithm?
Answer: For arbitrary numbers 335, 529, 206 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.