Highest Common Factor of 5185, 9813 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 5185, 9813 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5185, 9813 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 5185, 9813 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 5185, 9813 is 1.
HCF(5185, 9813) = 1
HCF of 5185, 9813 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5185, 9813 is 1.
Highest Common Factor of 5185,9813 is 1
Step 1: Since 9813 > 5185, we apply the division lemma to 9813 and 5185, to get
9813 = 5185 x 1 + 4628
Step 2: Since the reminder 5185 ≠ 0, we apply division lemma to 4628 and 5185, to get
5185 = 4628 x 1 + 557
Step 3: We consider the new divisor 4628 and the new remainder 557, and apply the division lemma to get
4628 = 557 x 8 + 172
We consider the new divisor 557 and the new remainder 172,and apply the division lemma to get
557 = 172 x 3 + 41
We consider the new divisor 172 and the new remainder 41,and apply the division lemma to get
172 = 41 x 4 + 8
We consider the new divisor 41 and the new remainder 8,and apply the division lemma to get
41 = 8 x 5 + 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 5185 and 9813 is 1
Notice that 1 = HCF(8,1) = HCF(41,8) = HCF(172,41) = HCF(557,172) = HCF(4628,557) = HCF(5185,4628) = HCF(9813,5185) .
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Frequently Asked Questions on HCF of 5185, 9813 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 5185, 9813?
Answer: HCF of 5185, 9813 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5185, 9813 using Euclid's Algorithm?
Answer: For arbitrary numbers 5185, 9813 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.