Highest Common Factor of 6849, 1443 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 6849, 1443 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 6849, 1443 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 6849, 1443 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 6849, 1443 is 3.
HCF(6849, 1443) = 3
HCF of 6849, 1443 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6849, 1443 is 3.
Highest Common Factor of 6849,1443 is 3
Step 1: Since 6849 > 1443, we apply the division lemma to 6849 and 1443, to get
6849 = 1443 x 4 + 1077
Step 2: Since the reminder 1443 ≠ 0, we apply division lemma to 1077 and 1443, to get
1443 = 1077 x 1 + 366
Step 3: We consider the new divisor 1077 and the new remainder 366, and apply the division lemma to get
1077 = 366 x 2 + 345
We consider the new divisor 366 and the new remainder 345,and apply the division lemma to get
366 = 345 x 1 + 21
We consider the new divisor 345 and the new remainder 21,and apply the division lemma to get
345 = 21 x 16 + 9
We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get
21 = 9 x 2 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6849 and 1443 is 3
Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(345,21) = HCF(366,345) = HCF(1077,366) = HCF(1443,1077) = HCF(6849,1443) .
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Frequently Asked Questions on HCF of 6849, 1443 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 6849, 1443?
Answer: HCF of 6849, 1443 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6849, 1443 using Euclid's Algorithm?
Answer: For arbitrary numbers 6849, 1443 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
