Highest Common Factor of 2469, 3399 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 2469, 3399 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2469, 3399 is 3 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 2469, 3399 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 2469, 3399 is 3.
HCF(2469, 3399) = 3
HCF of 2469, 3399 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2469, 3399 is 3.
Highest Common Factor of 2469,3399 is 3
Step 1: Since 3399 > 2469, we apply the division lemma to 3399 and 2469, to get
3399 = 2469 x 1 + 930
Step 2: Since the reminder 2469 ≠ 0, we apply division lemma to 930 and 2469, to get
2469 = 930 x 2 + 609
Step 3: We consider the new divisor 930 and the new remainder 609, and apply the division lemma to get
930 = 609 x 1 + 321
We consider the new divisor 609 and the new remainder 321,and apply the division lemma to get
609 = 321 x 1 + 288
We consider the new divisor 321 and the new remainder 288,and apply the division lemma to get
321 = 288 x 1 + 33
We consider the new divisor 288 and the new remainder 33,and apply the division lemma to get
288 = 33 x 8 + 24
We consider the new divisor 33 and the new remainder 24,and apply the division lemma to get
33 = 24 x 1 + 9
We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get
24 = 9 x 2 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2469 and 3399 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(33,24) = HCF(288,33) = HCF(321,288) = HCF(609,321) = HCF(930,609) = HCF(2469,930) = HCF(3399,2469) .
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Frequently Asked Questions on HCF of 2469, 3399 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 2469, 3399?
Answer: HCF of 2469, 3399 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2469, 3399 using Euclid's Algorithm?
Answer: For arbitrary numbers 2469, 3399 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.