Highest Common Factor of 2743, 5267 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 2743, 5267 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2743, 5267 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 2743, 5267 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 2743, 5267 is 1.
HCF(2743, 5267) = 1
HCF of 2743, 5267 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2743, 5267 is 1.
Highest Common Factor of 2743,5267 is 1
Step 1: Since 5267 > 2743, we apply the division lemma to 5267 and 2743, to get
5267 = 2743 x 1 + 2524
Step 2: Since the reminder 2743 ≠ 0, we apply division lemma to 2524 and 2743, to get
2743 = 2524 x 1 + 219
Step 3: We consider the new divisor 2524 and the new remainder 219, and apply the division lemma to get
2524 = 219 x 11 + 115
We consider the new divisor 219 and the new remainder 115,and apply the division lemma to get
219 = 115 x 1 + 104
We consider the new divisor 115 and the new remainder 104,and apply the division lemma to get
115 = 104 x 1 + 11
We consider the new divisor 104 and the new remainder 11,and apply the division lemma to get
104 = 11 x 9 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2743 and 5267 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(104,11) = HCF(115,104) = HCF(219,115) = HCF(2524,219) = HCF(2743,2524) = HCF(5267,2743) .
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Frequently Asked Questions on HCF of 2743, 5267 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 2743, 5267?
Answer: HCF of 2743, 5267 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2743, 5267 using Euclid's Algorithm?
Answer: For arbitrary numbers 2743, 5267 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.