Highest Common Factor of 1911, 2312 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 1911, 2312 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1911, 2312 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 1911, 2312 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 1911, 2312 is 1.
HCF(1911, 2312) = 1
HCF of 1911, 2312 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1911, 2312 is 1.
Highest Common Factor of 1911,2312 is 1
Step 1: Since 2312 > 1911, we apply the division lemma to 2312 and 1911, to get
2312 = 1911 x 1 + 401
Step 2: Since the reminder 1911 ≠ 0, we apply division lemma to 401 and 1911, to get
1911 = 401 x 4 + 307
Step 3: We consider the new divisor 401 and the new remainder 307, and apply the division lemma to get
401 = 307 x 1 + 94
We consider the new divisor 307 and the new remainder 94,and apply the division lemma to get
307 = 94 x 3 + 25
We consider the new divisor 94 and the new remainder 25,and apply the division lemma to get
94 = 25 x 3 + 19
We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get
25 = 19 x 1 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1911 and 2312 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(94,25) = HCF(307,94) = HCF(401,307) = HCF(1911,401) = HCF(2312,1911) .
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Frequently Asked Questions on HCF of 1911, 2312 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 1911, 2312?
Answer: HCF of 1911, 2312 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1911, 2312 using Euclid's Algorithm?
Answer: For arbitrary numbers 1911, 2312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.