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 3228, 2601 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3228, 2601 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 3228, 2601 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 3228, 2601 is 3.
HCF(3228, 2601) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3228, 2601 is 3.
Step 1: Since 3228 > 2601, we apply the division lemma to 3228 and 2601, to get
3228 = 2601 x 1 + 627
Step 2: Since the reminder 2601 ≠ 0, we apply division lemma to 627 and 2601, to get
2601 = 627 x 4 + 93
Step 3: We consider the new divisor 627 and the new remainder 93, and apply the division lemma to get
627 = 93 x 6 + 69
We consider the new divisor 93 and the new remainder 69,and apply the division lemma to get
93 = 69 x 1 + 24
We consider the new divisor 69 and the new remainder 24,and apply the division lemma to get
69 = 24 x 2 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3228 and 2601 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(69,24) = HCF(93,69) = HCF(627,93) = HCF(2601,627) = HCF(3228,2601) .
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 3228, 2601?
Answer: HCF of 3228, 2601 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3228, 2601 using Euclid's Algorithm?
Answer: For arbitrary numbers 3228, 2601 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.