Highest Common Factor of 2899, 3203 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 2899, 3203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2899, 3203 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 2899, 3203 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 2899, 3203 is 1.
HCF(2899, 3203) = 1
HCF of 2899, 3203 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2899, 3203 is 1.
Highest Common Factor of 2899,3203 is 1
Step 1: Since 3203 > 2899, we apply the division lemma to 3203 and 2899, to get
3203 = 2899 x 1 + 304
Step 2: Since the reminder 2899 ≠ 0, we apply division lemma to 304 and 2899, to get
2899 = 304 x 9 + 163
Step 3: We consider the new divisor 304 and the new remainder 163, and apply the division lemma to get
304 = 163 x 1 + 141
We consider the new divisor 163 and the new remainder 141,and apply the division lemma to get
163 = 141 x 1 + 22
We consider the new divisor 141 and the new remainder 22,and apply the division lemma to get
141 = 22 x 6 + 9
We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get
22 = 9 x 2 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2899 and 3203 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(141,22) = HCF(163,141) = HCF(304,163) = HCF(2899,304) = HCF(3203,2899) .
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Frequently Asked Questions on HCF of 2899, 3203 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 2899, 3203?
Answer: HCF of 2899, 3203 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2899, 3203 using Euclid's Algorithm?
Answer: For arbitrary numbers 2899, 3203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.