Highest Common Factor of 2296, 2031 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 2296, 2031 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2296, 2031 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 2296, 2031 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 2296, 2031 is 1.
HCF(2296, 2031) = 1
HCF of 2296, 2031 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2296, 2031 is 1.
Highest Common Factor of 2296,2031 is 1
Step 1: Since 2296 > 2031, we apply the division lemma to 2296 and 2031, to get
2296 = 2031 x 1 + 265
Step 2: Since the reminder 2031 ≠ 0, we apply division lemma to 265 and 2031, to get
2031 = 265 x 7 + 176
Step 3: We consider the new divisor 265 and the new remainder 176, and apply the division lemma to get
265 = 176 x 1 + 89
We consider the new divisor 176 and the new remainder 89,and apply the division lemma to get
176 = 89 x 1 + 87
We consider the new divisor 89 and the new remainder 87,and apply the division lemma to get
89 = 87 x 1 + 2
We consider the new divisor 87 and the new remainder 2,and apply the division lemma to get
87 = 2 x 43 + 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 2296 and 2031 is 1
Notice that 1 = HCF(2,1) = HCF(87,2) = HCF(89,87) = HCF(176,89) = HCF(265,176) = HCF(2031,265) = HCF(2296,2031) .
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Frequently Asked Questions on HCF of 2296, 2031 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 2296, 2031?
Answer: HCF of 2296, 2031 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2296, 2031 using Euclid's Algorithm?
Answer: For arbitrary numbers 2296, 2031 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.