Highest Common Factor of 2613, 9203 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 2613, 9203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2613, 9203 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 2613, 9203 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 2613, 9203 is 1.
HCF(2613, 9203) = 1
HCF of 2613, 9203 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2613, 9203 is 1.
Highest Common Factor of 2613,9203 is 1
Step 1: Since 9203 > 2613, we apply the division lemma to 9203 and 2613, to get
9203 = 2613 x 3 + 1364
Step 2: Since the reminder 2613 ≠ 0, we apply division lemma to 1364 and 2613, to get
2613 = 1364 x 1 + 1249
Step 3: We consider the new divisor 1364 and the new remainder 1249, and apply the division lemma to get
1364 = 1249 x 1 + 115
We consider the new divisor 1249 and the new remainder 115,and apply the division lemma to get
1249 = 115 x 10 + 99
We consider the new divisor 115 and the new remainder 99,and apply the division lemma to get
115 = 99 x 1 + 16
We consider the new divisor 99 and the new remainder 16,and apply the division lemma to get
99 = 16 x 6 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2613 and 9203 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(99,16) = HCF(115,99) = HCF(1249,115) = HCF(1364,1249) = HCF(2613,1364) = HCF(9203,2613) .
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Frequently Asked Questions on HCF of 2613, 9203 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 2613, 9203?
Answer: HCF of 2613, 9203 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2613, 9203 using Euclid's Algorithm?
Answer: For arbitrary numbers 2613, 9203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.