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, 8666 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2693, 8666 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, 8666 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, 8666 is 1.
HCF(2693, 8666) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2693, 8666 is 1.
Step 1: Since 8666 > 2693, we apply the division lemma to 8666 and 2693, to get
8666 = 2693 x 3 + 587
Step 2: Since the reminder 2693 ≠ 0, we apply division lemma to 587 and 2693, to get
2693 = 587 x 4 + 345
Step 3: We consider the new divisor 587 and the new remainder 345, and apply the division lemma to get
587 = 345 x 1 + 242
We consider the new divisor 345 and the new remainder 242,and apply the division lemma to get
345 = 242 x 1 + 103
We consider the new divisor 242 and the new remainder 103,and apply the division lemma to get
242 = 103 x 2 + 36
We consider the new divisor 103 and the new remainder 36,and apply the division lemma to get
103 = 36 x 2 + 31
We consider the new divisor 36 and the new remainder 31,and apply the division lemma to get
36 = 31 x 1 + 5
We consider the new divisor 31 and the new remainder 5,and apply the division lemma to get
31 = 5 x 6 + 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 2693 and 8666 is 1
Notice that 1 = HCF(5,1) = HCF(31,5) = HCF(36,31) = HCF(103,36) = HCF(242,103) = HCF(345,242) = HCF(587,345) = HCF(2693,587) = HCF(8666,2693) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 8666?
Answer: HCF of 2693, 8666 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2693, 8666 using Euclid's Algorithm?
Answer: For arbitrary numbers 2693, 8666 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.