Highest Common Factor of 3143, 542 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 3143, 542 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3143, 542 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 3143, 542 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 3143, 542 is 1.
HCF(3143, 542) = 1
HCF of 3143, 542 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3143, 542 is 1.
Highest Common Factor of 3143,542 is 1
Step 1: Since 3143 > 542, we apply the division lemma to 3143 and 542, to get
3143 = 542 x 5 + 433
Step 2: Since the reminder 542 ≠ 0, we apply division lemma to 433 and 542, to get
542 = 433 x 1 + 109
Step 3: We consider the new divisor 433 and the new remainder 109, and apply the division lemma to get
433 = 109 x 3 + 106
We consider the new divisor 109 and the new remainder 106,and apply the division lemma to get
109 = 106 x 1 + 3
We consider the new divisor 106 and the new remainder 3,and apply the division lemma to get
106 = 3 x 35 + 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 3143 and 542 is 1
Notice that 1 = HCF(3,1) = HCF(106,3) = HCF(109,106) = HCF(433,109) = HCF(542,433) = HCF(3143,542) .
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Frequently Asked Questions on HCF of 3143, 542 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 3143, 542?
Answer: HCF of 3143, 542 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3143, 542 using Euclid's Algorithm?
Answer: For arbitrary numbers 3143, 542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.