Highest Common Factor of 2230, 1321 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 2230, 1321 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2230, 1321 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 2230, 1321 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 2230, 1321 is 1.
HCF(2230, 1321) = 1
HCF of 2230, 1321 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2230, 1321 is 1.
Highest Common Factor of 2230,1321 is 1
Step 1: Since 2230 > 1321, we apply the division lemma to 2230 and 1321, to get
2230 = 1321 x 1 + 909
Step 2: Since the reminder 1321 ≠ 0, we apply division lemma to 909 and 1321, to get
1321 = 909 x 1 + 412
Step 3: We consider the new divisor 909 and the new remainder 412, and apply the division lemma to get
909 = 412 x 2 + 85
We consider the new divisor 412 and the new remainder 85,and apply the division lemma to get
412 = 85 x 4 + 72
We consider the new divisor 85 and the new remainder 72,and apply the division lemma to get
85 = 72 x 1 + 13
We consider the new divisor 72 and the new remainder 13,and apply the division lemma to get
72 = 13 x 5 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 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 2230 and 1321 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(72,13) = HCF(85,72) = HCF(412,85) = HCF(909,412) = HCF(1321,909) = HCF(2230,1321) .
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Frequently Asked Questions on HCF of 2230, 1321 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 2230, 1321?
Answer: HCF of 2230, 1321 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2230, 1321 using Euclid's Algorithm?
Answer: For arbitrary numbers 2230, 1321 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
