Highest Common Factor of 8504, 4817 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 8504, 4817 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8504, 4817 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 8504, 4817 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 8504, 4817 is 1.
HCF(8504, 4817) = 1
HCF of 8504, 4817 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8504, 4817 is 1.
Highest Common Factor of 8504,4817 is 1
Step 1: Since 8504 > 4817, we apply the division lemma to 8504 and 4817, to get
8504 = 4817 x 1 + 3687
Step 2: Since the reminder 4817 ≠ 0, we apply division lemma to 3687 and 4817, to get
4817 = 3687 x 1 + 1130
Step 3: We consider the new divisor 3687 and the new remainder 1130, and apply the division lemma to get
3687 = 1130 x 3 + 297
We consider the new divisor 1130 and the new remainder 297,and apply the division lemma to get
1130 = 297 x 3 + 239
We consider the new divisor 297 and the new remainder 239,and apply the division lemma to get
297 = 239 x 1 + 58
We consider the new divisor 239 and the new remainder 58,and apply the division lemma to get
239 = 58 x 4 + 7
We consider the new divisor 58 and the new remainder 7,and apply the division lemma to get
58 = 7 x 8 + 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 8504 and 4817 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(58,7) = HCF(239,58) = HCF(297,239) = HCF(1130,297) = HCF(3687,1130) = HCF(4817,3687) = HCF(8504,4817) .
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Frequently Asked Questions on HCF of 8504, 4817 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 8504, 4817?
Answer: HCF of 8504, 4817 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8504, 4817 using Euclid's Algorithm?
Answer: For arbitrary numbers 8504, 4817 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.