Highest Common Factor of 2088, 6839 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 2088, 6839 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2088, 6839 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 2088, 6839 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 2088, 6839 is 1.
HCF(2088, 6839) = 1
HCF of 2088, 6839 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2088, 6839 is 1.
Highest Common Factor of 2088,6839 is 1
Step 1: Since 6839 > 2088, we apply the division lemma to 6839 and 2088, to get
6839 = 2088 x 3 + 575
Step 2: Since the reminder 2088 ≠ 0, we apply division lemma to 575 and 2088, to get
2088 = 575 x 3 + 363
Step 3: We consider the new divisor 575 and the new remainder 363, and apply the division lemma to get
575 = 363 x 1 + 212
We consider the new divisor 363 and the new remainder 212,and apply the division lemma to get
363 = 212 x 1 + 151
We consider the new divisor 212 and the new remainder 151,and apply the division lemma to get
212 = 151 x 1 + 61
We consider the new divisor 151 and the new remainder 61,and apply the division lemma to get
151 = 61 x 2 + 29
We consider the new divisor 61 and the new remainder 29,and apply the division lemma to get
61 = 29 x 2 + 3
We consider the new divisor 29 and the new remainder 3,and apply the division lemma to get
29 = 3 x 9 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2088 and 6839 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(29,3) = HCF(61,29) = HCF(151,61) = HCF(212,151) = HCF(363,212) = HCF(575,363) = HCF(2088,575) = HCF(6839,2088) .
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Frequently Asked Questions on HCF of 2088, 6839 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 2088, 6839?
Answer: HCF of 2088, 6839 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2088, 6839 using Euclid's Algorithm?
Answer: For arbitrary numbers 2088, 6839 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
