Highest Common Factor of 8317, 8858 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 8317, 8858 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8317, 8858 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 8317, 8858 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 8317, 8858 is 1.
HCF(8317, 8858) = 1
HCF of 8317, 8858 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8317, 8858 is 1.
Highest Common Factor of 8317,8858 is 1
Step 1: Since 8858 > 8317, we apply the division lemma to 8858 and 8317, to get
8858 = 8317 x 1 + 541
Step 2: Since the reminder 8317 ≠ 0, we apply division lemma to 541 and 8317, to get
8317 = 541 x 15 + 202
Step 3: We consider the new divisor 541 and the new remainder 202, and apply the division lemma to get
541 = 202 x 2 + 137
We consider the new divisor 202 and the new remainder 137,and apply the division lemma to get
202 = 137 x 1 + 65
We consider the new divisor 137 and the new remainder 65,and apply the division lemma to get
137 = 65 x 2 + 7
We consider the new divisor 65 and the new remainder 7,and apply the division lemma to get
65 = 7 x 9 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 8317 and 8858 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(65,7) = HCF(137,65) = HCF(202,137) = HCF(541,202) = HCF(8317,541) = HCF(8858,8317) .
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Frequently Asked Questions on HCF of 8317, 8858 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 8317, 8858?
Answer: HCF of 8317, 8858 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8317, 8858 using Euclid's Algorithm?
Answer: For arbitrary numbers 8317, 8858 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.