Highest Common Factor of 2899, 5434 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, 5434 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 2899, 5434 is 13 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, 5434 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, 5434 is 13.
HCF(2899, 5434) = 13
HCF of 2899, 5434 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, 5434 is 13.
Highest Common Factor of 2899,5434 is 13
Step 1: Since 5434 > 2899, we apply the division lemma to 5434 and 2899, to get
5434 = 2899 x 1 + 2535
Step 2: Since the reminder 2899 ≠ 0, we apply division lemma to 2535 and 2899, to get
2899 = 2535 x 1 + 364
Step 3: We consider the new divisor 2535 and the new remainder 364, and apply the division lemma to get
2535 = 364 x 6 + 351
We consider the new divisor 364 and the new remainder 351,and apply the division lemma to get
364 = 351 x 1 + 13
We consider the new divisor 351 and the new remainder 13,and apply the division lemma to get
351 = 13 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 2899 and 5434 is 13
Notice that 13 = HCF(351,13) = HCF(364,351) = HCF(2535,364) = HCF(2899,2535) = HCF(5434,2899) .
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Frequently Asked Questions on HCF of 2899, 5434 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, 5434?
Answer: HCF of 2899, 5434 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2899, 5434 using Euclid's Algorithm?
Answer: For arbitrary numbers 2899, 5434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.