Highest Common Factor of 1263, 3743 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 1263, 3743 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1263, 3743 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 1263, 3743 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 1263, 3743 is 1.
HCF(1263, 3743) = 1
HCF of 1263, 3743 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1263, 3743 is 1.
Highest Common Factor of 1263,3743 is 1
Step 1: Since 3743 > 1263, we apply the division lemma to 3743 and 1263, to get
3743 = 1263 x 2 + 1217
Step 2: Since the reminder 1263 ≠ 0, we apply division lemma to 1217 and 1263, to get
1263 = 1217 x 1 + 46
Step 3: We consider the new divisor 1217 and the new remainder 46, and apply the division lemma to get
1217 = 46 x 26 + 21
We consider the new divisor 46 and the new remainder 21,and apply the division lemma to get
46 = 21 x 2 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1263 and 3743 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(46,21) = HCF(1217,46) = HCF(1263,1217) = HCF(3743,1263) .
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Frequently Asked Questions on HCF of 1263, 3743 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 1263, 3743?
Answer: HCF of 1263, 3743 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1263, 3743 using Euclid's Algorithm?
Answer: For arbitrary numbers 1263, 3743 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.