Highest Common Factor of 1963, 1221 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 1963, 1221 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1963, 1221 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 1963, 1221 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 1963, 1221 is 1.
HCF(1963, 1221) = 1
HCF of 1963, 1221 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1963, 1221 is 1.
Highest Common Factor of 1963,1221 is 1
Step 1: Since 1963 > 1221, we apply the division lemma to 1963 and 1221, to get
1963 = 1221 x 1 + 742
Step 2: Since the reminder 1221 ≠ 0, we apply division lemma to 742 and 1221, to get
1221 = 742 x 1 + 479
Step 3: We consider the new divisor 742 and the new remainder 479, and apply the division lemma to get
742 = 479 x 1 + 263
We consider the new divisor 479 and the new remainder 263,and apply the division lemma to get
479 = 263 x 1 + 216
We consider the new divisor 263 and the new remainder 216,and apply the division lemma to get
263 = 216 x 1 + 47
We consider the new divisor 216 and the new remainder 47,and apply the division lemma to get
216 = 47 x 4 + 28
We consider the new divisor 47 and the new remainder 28,and apply the division lemma to get
47 = 28 x 1 + 19
We consider the new divisor 28 and the new remainder 19,and apply the division lemma to get
28 = 19 x 1 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1963 and 1221 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(28,19) = HCF(47,28) = HCF(216,47) = HCF(263,216) = HCF(479,263) = HCF(742,479) = HCF(1221,742) = HCF(1963,1221) .
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Frequently Asked Questions on HCF of 1963, 1221 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 1963, 1221?
Answer: HCF of 1963, 1221 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1963, 1221 using Euclid's Algorithm?
Answer: For arbitrary numbers 1963, 1221 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
