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 7043, 6768 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7043, 6768 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 7043, 6768 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 7043, 6768 is 1.
HCF(7043, 6768) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7043, 6768 is 1.
Step 1: Since 7043 > 6768, we apply the division lemma to 7043 and 6768, to get
7043 = 6768 x 1 + 275
Step 2: Since the reminder 6768 ≠ 0, we apply division lemma to 275 and 6768, to get
6768 = 275 x 24 + 168
Step 3: We consider the new divisor 275 and the new remainder 168, and apply the division lemma to get
275 = 168 x 1 + 107
We consider the new divisor 168 and the new remainder 107,and apply the division lemma to get
168 = 107 x 1 + 61
We consider the new divisor 107 and the new remainder 61,and apply the division lemma to get
107 = 61 x 1 + 46
We consider the new divisor 61 and the new remainder 46,and apply the division lemma to get
61 = 46 x 1 + 15
We consider the new divisor 46 and the new remainder 15,and apply the division lemma to get
46 = 15 x 3 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7043 and 6768 is 1
Notice that 1 = HCF(15,1) = HCF(46,15) = HCF(61,46) = HCF(107,61) = HCF(168,107) = HCF(275,168) = HCF(6768,275) = HCF(7043,6768) .
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 7043, 6768?
Answer: HCF of 7043, 6768 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7043, 6768 using Euclid's Algorithm?
Answer: For arbitrary numbers 7043, 6768 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.