Highest Common Factor of 7544, 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 7544, 6839 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7544, 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 7544, 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 7544, 6839 is 1.
HCF(7544, 6839) = 1
HCF of 7544, 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 7544, 6839 is 1.
Highest Common Factor of 7544,6839 is 1
Step 1: Since 7544 > 6839, we apply the division lemma to 7544 and 6839, to get
7544 = 6839 x 1 + 705
Step 2: Since the reminder 6839 ≠ 0, we apply division lemma to 705 and 6839, to get
6839 = 705 x 9 + 494
Step 3: We consider the new divisor 705 and the new remainder 494, and apply the division lemma to get
705 = 494 x 1 + 211
We consider the new divisor 494 and the new remainder 211,and apply the division lemma to get
494 = 211 x 2 + 72
We consider the new divisor 211 and the new remainder 72,and apply the division lemma to get
211 = 72 x 2 + 67
We consider the new divisor 72 and the new remainder 67,and apply the division lemma to get
72 = 67 x 1 + 5
We consider the new divisor 67 and the new remainder 5,and apply the division lemma to get
67 = 5 x 13 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 7544 and 6839 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(67,5) = HCF(72,67) = HCF(211,72) = HCF(494,211) = HCF(705,494) = HCF(6839,705) = HCF(7544,6839) .
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Frequently Asked Questions on HCF of 7544, 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 7544, 6839?
Answer: HCF of 7544, 6839 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7544, 6839 using Euclid's Algorithm?
Answer: For arbitrary numbers 7544, 6839 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.