Highest Common Factor of 8572, 4831 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 8572, 4831 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8572, 4831 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 8572, 4831 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 8572, 4831 is 1.
HCF(8572, 4831) = 1
HCF of 8572, 4831 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8572, 4831 is 1.
Highest Common Factor of 8572,4831 is 1
Step 1: Since 8572 > 4831, we apply the division lemma to 8572 and 4831, to get
8572 = 4831 x 1 + 3741
Step 2: Since the reminder 4831 ≠ 0, we apply division lemma to 3741 and 4831, to get
4831 = 3741 x 1 + 1090
Step 3: We consider the new divisor 3741 and the new remainder 1090, and apply the division lemma to get
3741 = 1090 x 3 + 471
We consider the new divisor 1090 and the new remainder 471,and apply the division lemma to get
1090 = 471 x 2 + 148
We consider the new divisor 471 and the new remainder 148,and apply the division lemma to get
471 = 148 x 3 + 27
We consider the new divisor 148 and the new remainder 27,and apply the division lemma to get
148 = 27 x 5 + 13
We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get
27 = 13 x 2 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8572 and 4831 is 1
Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(148,27) = HCF(471,148) = HCF(1090,471) = HCF(3741,1090) = HCF(4831,3741) = HCF(8572,4831) .
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Frequently Asked Questions on HCF of 8572, 4831 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 8572, 4831?
Answer: HCF of 8572, 4831 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8572, 4831 using Euclid's Algorithm?
Answer: For arbitrary numbers 8572, 4831 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
