Highest Common Factor of 2658, 2193 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 2658, 2193 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2658, 2193 is 3 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 2658, 2193 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 2658, 2193 is 3.
HCF(2658, 2193) = 3
HCF of 2658, 2193 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2658, 2193 is 3.
Highest Common Factor of 2658,2193 is 3
Step 1: Since 2658 > 2193, we apply the division lemma to 2658 and 2193, to get
2658 = 2193 x 1 + 465
Step 2: Since the reminder 2193 ≠ 0, we apply division lemma to 465 and 2193, to get
2193 = 465 x 4 + 333
Step 3: We consider the new divisor 465 and the new remainder 333, and apply the division lemma to get
465 = 333 x 1 + 132
We consider the new divisor 333 and the new remainder 132,and apply the division lemma to get
333 = 132 x 2 + 69
We consider the new divisor 132 and the new remainder 69,and apply the division lemma to get
132 = 69 x 1 + 63
We consider the new divisor 69 and the new remainder 63,and apply the division lemma to get
69 = 63 x 1 + 6
We consider the new divisor 63 and the new remainder 6,and apply the division lemma to get
63 = 6 x 10 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2658 and 2193 is 3
Notice that 3 = HCF(6,3) = HCF(63,6) = HCF(69,63) = HCF(132,69) = HCF(333,132) = HCF(465,333) = HCF(2193,465) = HCF(2658,2193) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2658, 2193 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 2658, 2193?
Answer: HCF of 2658, 2193 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2658, 2193 using Euclid's Algorithm?
Answer: For arbitrary numbers 2658, 2193 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.