Highest Common Factor of 203, 406, 899 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 203, 406, 899 i.e. 29 the largest integer that leaves a remainder zero for all numbers.
HCF of 203, 406, 899 is 29 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 203, 406, 899 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 203, 406, 899 is 29.
HCF(203, 406, 899) = 29
HCF of 203, 406, 899 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 203, 406, 899 is 29.
Highest Common Factor of 203,406,899 is 29
Step 1: Since 406 > 203, we apply the division lemma to 406 and 203, to get
406 = 203 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 203, the HCF of 203 and 406 is 203
Notice that 203 = HCF(406,203) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 899 > 203, we apply the division lemma to 899 and 203, to get
899 = 203 x 4 + 87
Step 2: Since the reminder 203 ≠ 0, we apply division lemma to 87 and 203, to get
203 = 87 x 2 + 29
Step 3: We consider the new divisor 87 and the new remainder 29, and apply the division lemma to get
87 = 29 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 203 and 899 is 29
Notice that 29 = HCF(87,29) = HCF(203,87) = HCF(899,203) .
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Frequently Asked Questions on HCF of 203, 406, 899 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 203, 406, 899?
Answer: HCF of 203, 406, 899 is 29 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 203, 406, 899 using Euclid's Algorithm?
Answer: For arbitrary numbers 203, 406, 899 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.