Highest Common Factor of 5449, 4939 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 5449, 4939 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5449, 4939 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 5449, 4939 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 5449, 4939 is 1.
HCF(5449, 4939) = 1
HCF of 5449, 4939 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5449, 4939 is 1.
Highest Common Factor of 5449,4939 is 1
Step 1: Since 5449 > 4939, we apply the division lemma to 5449 and 4939, to get
5449 = 4939 x 1 + 510
Step 2: Since the reminder 4939 ≠ 0, we apply division lemma to 510 and 4939, to get
4939 = 510 x 9 + 349
Step 3: We consider the new divisor 510 and the new remainder 349, and apply the division lemma to get
510 = 349 x 1 + 161
We consider the new divisor 349 and the new remainder 161,and apply the division lemma to get
349 = 161 x 2 + 27
We consider the new divisor 161 and the new remainder 27,and apply the division lemma to get
161 = 27 x 5 + 26
We consider the new divisor 27 and the new remainder 26,and apply the division lemma to get
27 = 26 x 1 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5449 and 4939 is 1
Notice that 1 = HCF(26,1) = HCF(27,26) = HCF(161,27) = HCF(349,161) = HCF(510,349) = HCF(4939,510) = HCF(5449,4939) .
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Frequently Asked Questions on HCF of 5449, 4939 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 5449, 4939?
Answer: HCF of 5449, 4939 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5449, 4939 using Euclid's Algorithm?
Answer: For arbitrary numbers 5449, 4939 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.