Highest Common Factor of 2348, 9907 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 2348, 9907 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2348, 9907 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 2348, 9907 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 2348, 9907 is 1.
HCF(2348, 9907) = 1
HCF of 2348, 9907 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2348, 9907 is 1.
Highest Common Factor of 2348,9907 is 1
Step 1: Since 9907 > 2348, we apply the division lemma to 9907 and 2348, to get
9907 = 2348 x 4 + 515
Step 2: Since the reminder 2348 ≠ 0, we apply division lemma to 515 and 2348, to get
2348 = 515 x 4 + 288
Step 3: We consider the new divisor 515 and the new remainder 288, and apply the division lemma to get
515 = 288 x 1 + 227
We consider the new divisor 288 and the new remainder 227,and apply the division lemma to get
288 = 227 x 1 + 61
We consider the new divisor 227 and the new remainder 61,and apply the division lemma to get
227 = 61 x 3 + 44
We consider the new divisor 61 and the new remainder 44,and apply the division lemma to get
61 = 44 x 1 + 17
We consider the new divisor 44 and the new remainder 17,and apply the division lemma to get
44 = 17 x 2 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 2348 and 9907 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(44,17) = HCF(61,44) = HCF(227,61) = HCF(288,227) = HCF(515,288) = HCF(2348,515) = HCF(9907,2348) .
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Frequently Asked Questions on HCF of 2348, 9907 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 2348, 9907?
Answer: HCF of 2348, 9907 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2348, 9907 using Euclid's Algorithm?
Answer: For arbitrary numbers 2348, 9907 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.