Highest Common Factor of 2247, 1906 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 2247, 1906 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2247, 1906 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 2247, 1906 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 2247, 1906 is 1.
HCF(2247, 1906) = 1
HCF of 2247, 1906 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2247, 1906 is 1.
Highest Common Factor of 2247,1906 is 1
Step 1: Since 2247 > 1906, we apply the division lemma to 2247 and 1906, to get
2247 = 1906 x 1 + 341
Step 2: Since the reminder 1906 ≠ 0, we apply division lemma to 341 and 1906, to get
1906 = 341 x 5 + 201
Step 3: We consider the new divisor 341 and the new remainder 201, and apply the division lemma to get
341 = 201 x 1 + 140
We consider the new divisor 201 and the new remainder 140,and apply the division lemma to get
201 = 140 x 1 + 61
We consider the new divisor 140 and the new remainder 61,and apply the division lemma to get
140 = 61 x 2 + 18
We consider the new divisor 61 and the new remainder 18,and apply the division lemma to get
61 = 18 x 3 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 2247 and 1906 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(61,18) = HCF(140,61) = HCF(201,140) = HCF(341,201) = HCF(1906,341) = HCF(2247,1906) .
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Frequently Asked Questions on HCF of 2247, 1906 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 2247, 1906?
Answer: HCF of 2247, 1906 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2247, 1906 using Euclid's Algorithm?
Answer: For arbitrary numbers 2247, 1906 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.