Highest Common Factor of 3543, 4318 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 3543, 4318 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3543, 4318 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 3543, 4318 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 3543, 4318 is 1.
HCF(3543, 4318) = 1
HCF of 3543, 4318 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3543, 4318 is 1.
Highest Common Factor of 3543,4318 is 1
Step 1: Since 4318 > 3543, we apply the division lemma to 4318 and 3543, to get
4318 = 3543 x 1 + 775
Step 2: Since the reminder 3543 ≠ 0, we apply division lemma to 775 and 3543, to get
3543 = 775 x 4 + 443
Step 3: We consider the new divisor 775 and the new remainder 443, and apply the division lemma to get
775 = 443 x 1 + 332
We consider the new divisor 443 and the new remainder 332,and apply the division lemma to get
443 = 332 x 1 + 111
We consider the new divisor 332 and the new remainder 111,and apply the division lemma to get
332 = 111 x 2 + 110
We consider the new divisor 111 and the new remainder 110,and apply the division lemma to get
111 = 110 x 1 + 1
We consider the new divisor 110 and the new remainder 1,and apply the division lemma to get
110 = 1 x 110 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3543 and 4318 is 1
Notice that 1 = HCF(110,1) = HCF(111,110) = HCF(332,111) = HCF(443,332) = HCF(775,443) = HCF(3543,775) = HCF(4318,3543) .
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Frequently Asked Questions on HCF of 3543, 4318 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 3543, 4318?
Answer: HCF of 3543, 4318 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3543, 4318 using Euclid's Algorithm?
Answer: For arbitrary numbers 3543, 4318 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.