Highest Common Factor of 5983, 1542 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 5983, 1542 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5983, 1542 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 5983, 1542 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 5983, 1542 is 1.
HCF(5983, 1542) = 1
HCF of 5983, 1542 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5983, 1542 is 1.
Highest Common Factor of 5983,1542 is 1
Step 1: Since 5983 > 1542, we apply the division lemma to 5983 and 1542, to get
5983 = 1542 x 3 + 1357
Step 2: Since the reminder 1542 ≠ 0, we apply division lemma to 1357 and 1542, to get
1542 = 1357 x 1 + 185
Step 3: We consider the new divisor 1357 and the new remainder 185, and apply the division lemma to get
1357 = 185 x 7 + 62
We consider the new divisor 185 and the new remainder 62,and apply the division lemma to get
185 = 62 x 2 + 61
We consider the new divisor 62 and the new remainder 61,and apply the division lemma to get
62 = 61 x 1 + 1
We consider the new divisor 61 and the new remainder 1,and apply the division lemma to get
61 = 1 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5983 and 1542 is 1
Notice that 1 = HCF(61,1) = HCF(62,61) = HCF(185,62) = HCF(1357,185) = HCF(1542,1357) = HCF(5983,1542) .
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Frequently Asked Questions on HCF of 5983, 1542 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 5983, 1542?
Answer: HCF of 5983, 1542 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5983, 1542 using Euclid's Algorithm?
Answer: For arbitrary numbers 5983, 1542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
