Highest Common Factor of 5388, 2839 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 5388, 2839 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5388, 2839 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 5388, 2839 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 5388, 2839 is 1.
HCF(5388, 2839) = 1
HCF of 5388, 2839 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5388, 2839 is 1.
Highest Common Factor of 5388,2839 is 1
Step 1: Since 5388 > 2839, we apply the division lemma to 5388 and 2839, to get
5388 = 2839 x 1 + 2549
Step 2: Since the reminder 2839 ≠ 0, we apply division lemma to 2549 and 2839, to get
2839 = 2549 x 1 + 290
Step 3: We consider the new divisor 2549 and the new remainder 290, and apply the division lemma to get
2549 = 290 x 8 + 229
We consider the new divisor 290 and the new remainder 229,and apply the division lemma to get
290 = 229 x 1 + 61
We consider the new divisor 229 and the new remainder 61,and apply the division lemma to get
229 = 61 x 3 + 46
We consider the new divisor 61 and the new remainder 46,and apply the division lemma to get
61 = 46 x 1 + 15
We consider the new divisor 46 and the new remainder 15,and apply the division lemma to get
46 = 15 x 3 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5388 and 2839 is 1
Notice that 1 = HCF(15,1) = HCF(46,15) = HCF(61,46) = HCF(229,61) = HCF(290,229) = HCF(2549,290) = HCF(2839,2549) = HCF(5388,2839) .
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Frequently Asked Questions on HCF of 5388, 2839 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 5388, 2839?
Answer: HCF of 5388, 2839 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5388, 2839 using Euclid's Algorithm?
Answer: For arbitrary numbers 5388, 2839 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.