Highest Common Factor of 8573, 6139 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 8573, 6139 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8573, 6139 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 8573, 6139 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 8573, 6139 is 1.
HCF(8573, 6139) = 1
HCF of 8573, 6139 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8573, 6139 is 1.
Highest Common Factor of 8573,6139 is 1
Step 1: Since 8573 > 6139, we apply the division lemma to 8573 and 6139, to get
8573 = 6139 x 1 + 2434
Step 2: Since the reminder 6139 ≠ 0, we apply division lemma to 2434 and 6139, to get
6139 = 2434 x 2 + 1271
Step 3: We consider the new divisor 2434 and the new remainder 1271, and apply the division lemma to get
2434 = 1271 x 1 + 1163
We consider the new divisor 1271 and the new remainder 1163,and apply the division lemma to get
1271 = 1163 x 1 + 108
We consider the new divisor 1163 and the new remainder 108,and apply the division lemma to get
1163 = 108 x 10 + 83
We consider the new divisor 108 and the new remainder 83,and apply the division lemma to get
108 = 83 x 1 + 25
We consider the new divisor 83 and the new remainder 25,and apply the division lemma to get
83 = 25 x 3 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8573 and 6139 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(83,25) = HCF(108,83) = HCF(1163,108) = HCF(1271,1163) = HCF(2434,1271) = HCF(6139,2434) = HCF(8573,6139) .
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Frequently Asked Questions on HCF of 8573, 6139 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 8573, 6139?
Answer: HCF of 8573, 6139 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8573, 6139 using Euclid's Algorithm?
Answer: For arbitrary numbers 8573, 6139 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
