Highest Common Factor of 7543, 8982 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 7543, 8982 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7543, 8982 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 7543, 8982 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 7543, 8982 is 1.
HCF(7543, 8982) = 1
HCF of 7543, 8982 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7543, 8982 is 1.
Highest Common Factor of 7543,8982 is 1
Step 1: Since 8982 > 7543, we apply the division lemma to 8982 and 7543, to get
8982 = 7543 x 1 + 1439
Step 2: Since the reminder 7543 ≠ 0, we apply division lemma to 1439 and 7543, to get
7543 = 1439 x 5 + 348
Step 3: We consider the new divisor 1439 and the new remainder 348, and apply the division lemma to get
1439 = 348 x 4 + 47
We consider the new divisor 348 and the new remainder 47,and apply the division lemma to get
348 = 47 x 7 + 19
We consider the new divisor 47 and the new remainder 19,and apply the division lemma to get
47 = 19 x 2 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7543 and 8982 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(47,19) = HCF(348,47) = HCF(1439,348) = HCF(7543,1439) = HCF(8982,7543) .
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Frequently Asked Questions on HCF of 7543, 8982 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 7543, 8982?
Answer: HCF of 7543, 8982 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7543, 8982 using Euclid's Algorithm?
Answer: For arbitrary numbers 7543, 8982 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.