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 6288, 3421 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6288, 3421 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 6288, 3421 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 6288, 3421 is 1.
HCF(6288, 3421) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6288, 3421 is 1.
Step 1: Since 6288 > 3421, we apply the division lemma to 6288 and 3421, to get
6288 = 3421 x 1 + 2867
Step 2: Since the reminder 3421 ≠ 0, we apply division lemma to 2867 and 3421, to get
3421 = 2867 x 1 + 554
Step 3: We consider the new divisor 2867 and the new remainder 554, and apply the division lemma to get
2867 = 554 x 5 + 97
We consider the new divisor 554 and the new remainder 97,and apply the division lemma to get
554 = 97 x 5 + 69
We consider the new divisor 97 and the new remainder 69,and apply the division lemma to get
97 = 69 x 1 + 28
We consider the new divisor 69 and the new remainder 28,and apply the division lemma to get
69 = 28 x 2 + 13
We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get
28 = 13 x 2 + 2
We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get
13 = 2 x 6 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6288 and 3421 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(69,28) = HCF(97,69) = HCF(554,97) = HCF(2867,554) = HCF(3421,2867) = HCF(6288,3421) .
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 6288, 3421?
Answer: HCF of 6288, 3421 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6288, 3421 using Euclid's Algorithm?
Answer: For arbitrary numbers 6288, 3421 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.