Highest Common Factor of 7543, 5223 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, 5223 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7543, 5223 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, 5223 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, 5223 is 1.
HCF(7543, 5223) = 1
HCF of 7543, 5223 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, 5223 is 1.
Highest Common Factor of 7543,5223 is 1
Step 1: Since 7543 > 5223, we apply the division lemma to 7543 and 5223, to get
7543 = 5223 x 1 + 2320
Step 2: Since the reminder 5223 ≠ 0, we apply division lemma to 2320 and 5223, to get
5223 = 2320 x 2 + 583
Step 3: We consider the new divisor 2320 and the new remainder 583, and apply the division lemma to get
2320 = 583 x 3 + 571
We consider the new divisor 583 and the new remainder 571,and apply the division lemma to get
583 = 571 x 1 + 12
We consider the new divisor 571 and the new remainder 12,and apply the division lemma to get
571 = 12 x 47 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7543 and 5223 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(571,12) = HCF(583,571) = HCF(2320,583) = HCF(5223,2320) = HCF(7543,5223) .
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Frequently Asked Questions on HCF of 7543, 5223 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, 5223?
Answer: HCF of 7543, 5223 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7543, 5223 using Euclid's Algorithm?
Answer: For arbitrary numbers 7543, 5223 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.