Highest Common Factor of 1243, 3362 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 1243, 3362 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1243, 3362 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 1243, 3362 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 1243, 3362 is 1.
HCF(1243, 3362) = 1
HCF of 1243, 3362 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1243, 3362 is 1.
Highest Common Factor of 1243,3362 is 1
Step 1: Since 3362 > 1243, we apply the division lemma to 3362 and 1243, to get
3362 = 1243 x 2 + 876
Step 2: Since the reminder 1243 ≠ 0, we apply division lemma to 876 and 1243, to get
1243 = 876 x 1 + 367
Step 3: We consider the new divisor 876 and the new remainder 367, and apply the division lemma to get
876 = 367 x 2 + 142
We consider the new divisor 367 and the new remainder 142,and apply the division lemma to get
367 = 142 x 2 + 83
We consider the new divisor 142 and the new remainder 83,and apply the division lemma to get
142 = 83 x 1 + 59
We consider the new divisor 83 and the new remainder 59,and apply the division lemma to get
83 = 59 x 1 + 24
We consider the new divisor 59 and the new remainder 24,and apply the division lemma to get
59 = 24 x 2 + 11
We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get
24 = 11 x 2 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 1243 and 3362 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(59,24) = HCF(83,59) = HCF(142,83) = HCF(367,142) = HCF(876,367) = HCF(1243,876) = HCF(3362,1243) .
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Frequently Asked Questions on HCF of 1243, 3362 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 1243, 3362?
Answer: HCF of 1243, 3362 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1243, 3362 using Euclid's Algorithm?
Answer: For arbitrary numbers 1243, 3362 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.