Highest Common Factor of 6943, 7441 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 6943, 7441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6943, 7441 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 6943, 7441 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 6943, 7441 is 1.
HCF(6943, 7441) = 1
HCF of 6943, 7441 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6943, 7441 is 1.
Highest Common Factor of 6943,7441 is 1
Step 1: Since 7441 > 6943, we apply the division lemma to 7441 and 6943, to get
7441 = 6943 x 1 + 498
Step 2: Since the reminder 6943 ≠ 0, we apply division lemma to 498 and 6943, to get
6943 = 498 x 13 + 469
Step 3: We consider the new divisor 498 and the new remainder 469, and apply the division lemma to get
498 = 469 x 1 + 29
We consider the new divisor 469 and the new remainder 29,and apply the division lemma to get
469 = 29 x 16 + 5
We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get
29 = 5 x 5 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6943 and 7441 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(469,29) = HCF(498,469) = HCF(6943,498) = HCF(7441,6943) .
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Frequently Asked Questions on HCF of 6943, 7441 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 6943, 7441?
Answer: HCF of 6943, 7441 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6943, 7441 using Euclid's Algorithm?
Answer: For arbitrary numbers 6943, 7441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.