Highest Common Factor of 2693, 4746 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 2693, 4746 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2693, 4746 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 2693, 4746 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 2693, 4746 is 1.
HCF(2693, 4746) = 1
HCF of 2693, 4746 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2693, 4746 is 1.
Highest Common Factor of 2693,4746 is 1
Step 1: Since 4746 > 2693, we apply the division lemma to 4746 and 2693, to get
4746 = 2693 x 1 + 2053
Step 2: Since the reminder 2693 ≠ 0, we apply division lemma to 2053 and 2693, to get
2693 = 2053 x 1 + 640
Step 3: We consider the new divisor 2053 and the new remainder 640, and apply the division lemma to get
2053 = 640 x 3 + 133
We consider the new divisor 640 and the new remainder 133,and apply the division lemma to get
640 = 133 x 4 + 108
We consider the new divisor 133 and the new remainder 108,and apply the division lemma to get
133 = 108 x 1 + 25
We consider the new divisor 108 and the new remainder 25,and apply the division lemma to get
108 = 25 x 4 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2693 and 4746 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(108,25) = HCF(133,108) = HCF(640,133) = HCF(2053,640) = HCF(2693,2053) = HCF(4746,2693) .
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Frequently Asked Questions on HCF of 2693, 4746 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 2693, 4746?
Answer: HCF of 2693, 4746 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2693, 4746 using Euclid's Algorithm?
Answer: For arbitrary numbers 2693, 4746 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.