Highest Common Factor of 8701, 4813 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 8701, 4813 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8701, 4813 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 8701, 4813 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 8701, 4813 is 1.
HCF(8701, 4813) = 1
HCF of 8701, 4813 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8701, 4813 is 1.
Highest Common Factor of 8701,4813 is 1
Step 1: Since 8701 > 4813, we apply the division lemma to 8701 and 4813, to get
8701 = 4813 x 1 + 3888
Step 2: Since the reminder 4813 ≠ 0, we apply division lemma to 3888 and 4813, to get
4813 = 3888 x 1 + 925
Step 3: We consider the new divisor 3888 and the new remainder 925, and apply the division lemma to get
3888 = 925 x 4 + 188
We consider the new divisor 925 and the new remainder 188,and apply the division lemma to get
925 = 188 x 4 + 173
We consider the new divisor 188 and the new remainder 173,and apply the division lemma to get
188 = 173 x 1 + 15
We consider the new divisor 173 and the new remainder 15,and apply the division lemma to get
173 = 15 x 11 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8701 and 4813 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(173,15) = HCF(188,173) = HCF(925,188) = HCF(3888,925) = HCF(4813,3888) = HCF(8701,4813) .
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Frequently Asked Questions on HCF of 8701, 4813 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 8701, 4813?
Answer: HCF of 8701, 4813 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8701, 4813 using Euclid's Algorithm?
Answer: For arbitrary numbers 8701, 4813 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.