Highest Common Factor of 3542, 4381 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 3542, 4381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3542, 4381 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 3542, 4381 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 3542, 4381 is 1.
HCF(3542, 4381) = 1
HCF of 3542, 4381 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3542, 4381 is 1.
Highest Common Factor of 3542,4381 is 1
Step 1: Since 4381 > 3542, we apply the division lemma to 4381 and 3542, to get
4381 = 3542 x 1 + 839
Step 2: Since the reminder 3542 ≠ 0, we apply division lemma to 839 and 3542, to get
3542 = 839 x 4 + 186
Step 3: We consider the new divisor 839 and the new remainder 186, and apply the division lemma to get
839 = 186 x 4 + 95
We consider the new divisor 186 and the new remainder 95,and apply the division lemma to get
186 = 95 x 1 + 91
We consider the new divisor 95 and the new remainder 91,and apply the division lemma to get
95 = 91 x 1 + 4
We consider the new divisor 91 and the new remainder 4,and apply the division lemma to get
91 = 4 x 22 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3542 and 4381 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(91,4) = HCF(95,91) = HCF(186,95) = HCF(839,186) = HCF(3542,839) = HCF(4381,3542) .
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Frequently Asked Questions on HCF of 3542, 4381 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 3542, 4381?
Answer: HCF of 3542, 4381 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3542, 4381 using Euclid's Algorithm?
Answer: For arbitrary numbers 3542, 4381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
