Highest Common Factor of 210, 399 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 210, 399 i.e. 21 the largest integer that leaves a remainder zero for all numbers.
HCF of 210, 399 is 21 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 210, 399 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 210, 399 is 21.
HCF(210, 399) = 21
HCF of 210, 399 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 210, 399 is 21.
Highest Common Factor of 210,399 is 21
Step 1: Since 399 > 210, we apply the division lemma to 399 and 210, to get
399 = 210 x 1 + 189
Step 2: Since the reminder 210 ≠ 0, we apply division lemma to 189 and 210, to get
210 = 189 x 1 + 21
Step 3: We consider the new divisor 189 and the new remainder 21, and apply the division lemma to get
189 = 21 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 210 and 399 is 21
Notice that 21 = HCF(189,21) = HCF(210,189) = HCF(399,210) .
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Frequently Asked Questions on HCF of 210, 399 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 210, 399?
Answer: HCF of 210, 399 is 21 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 210, 399 using Euclid's Algorithm?
Answer: For arbitrary numbers 210, 399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.