Highest Common Factor of 2311, 953 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 2311, 953 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2311, 953 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 2311, 953 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 2311, 953 is 1.
HCF(2311, 953) = 1
HCF of 2311, 953 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2311, 953 is 1.
Highest Common Factor of 2311,953 is 1
Step 1: Since 2311 > 953, we apply the division lemma to 2311 and 953, to get
2311 = 953 x 2 + 405
Step 2: Since the reminder 953 ≠ 0, we apply division lemma to 405 and 953, to get
953 = 405 x 2 + 143
Step 3: We consider the new divisor 405 and the new remainder 143, and apply the division lemma to get
405 = 143 x 2 + 119
We consider the new divisor 143 and the new remainder 119,and apply the division lemma to get
143 = 119 x 1 + 24
We consider the new divisor 119 and the new remainder 24,and apply the division lemma to get
119 = 24 x 4 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2311 and 953 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(119,24) = HCF(143,119) = HCF(405,143) = HCF(953,405) = HCF(2311,953) .
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Frequently Asked Questions on HCF of 2311, 953 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 2311, 953?
Answer: HCF of 2311, 953 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2311, 953 using Euclid's Algorithm?
Answer: For arbitrary numbers 2311, 953 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.