Highest Common Factor of 5483, 6942 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 5483, 6942 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5483, 6942 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 5483, 6942 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 5483, 6942 is 1.
HCF(5483, 6942) = 1
HCF of 5483, 6942 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5483, 6942 is 1.
Highest Common Factor of 5483,6942 is 1
Step 1: Since 6942 > 5483, we apply the division lemma to 6942 and 5483, to get
6942 = 5483 x 1 + 1459
Step 2: Since the reminder 5483 ≠ 0, we apply division lemma to 1459 and 5483, to get
5483 = 1459 x 3 + 1106
Step 3: We consider the new divisor 1459 and the new remainder 1106, and apply the division lemma to get
1459 = 1106 x 1 + 353
We consider the new divisor 1106 and the new remainder 353,and apply the division lemma to get
1106 = 353 x 3 + 47
We consider the new divisor 353 and the new remainder 47,and apply the division lemma to get
353 = 47 x 7 + 24
We consider the new divisor 47 and the new remainder 24,and apply the division lemma to get
47 = 24 x 1 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5483 and 6942 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(47,24) = HCF(353,47) = HCF(1106,353) = HCF(1459,1106) = HCF(5483,1459) = HCF(6942,5483) .
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Frequently Asked Questions on HCF of 5483, 6942 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 5483, 6942?
Answer: HCF of 5483, 6942 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5483, 6942 using Euclid's Algorithm?
Answer: For arbitrary numbers 5483, 6942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.