Highest Common Factor of 1542, 427 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 1542, 427 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1542, 427 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 1542, 427 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 1542, 427 is 1.
HCF(1542, 427) = 1
HCF of 1542, 427 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1542, 427 is 1.
Highest Common Factor of 1542,427 is 1
Step 1: Since 1542 > 427, we apply the division lemma to 1542 and 427, to get
1542 = 427 x 3 + 261
Step 2: Since the reminder 427 ≠ 0, we apply division lemma to 261 and 427, to get
427 = 261 x 1 + 166
Step 3: We consider the new divisor 261 and the new remainder 166, and apply the division lemma to get
261 = 166 x 1 + 95
We consider the new divisor 166 and the new remainder 95,and apply the division lemma to get
166 = 95 x 1 + 71
We consider the new divisor 95 and the new remainder 71,and apply the division lemma to get
95 = 71 x 1 + 24
We consider the new divisor 71 and the new remainder 24,and apply the division lemma to get
71 = 24 x 2 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1542 and 427 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(71,24) = HCF(95,71) = HCF(166,95) = HCF(261,166) = HCF(427,261) = HCF(1542,427) .
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Frequently Asked Questions on HCF of 1542, 427 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 1542, 427?
Answer: HCF of 1542, 427 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1542, 427 using Euclid's Algorithm?
Answer: For arbitrary numbers 1542, 427 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.