Highest Common Factor of 542, 5585 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 542, 5585 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 542, 5585 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 542, 5585 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 542, 5585 is 1.
HCF(542, 5585) = 1
HCF of 542, 5585 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 542, 5585 is 1.
Highest Common Factor of 542,5585 is 1
Step 1: Since 5585 > 542, we apply the division lemma to 5585 and 542, to get
5585 = 542 x 10 + 165
Step 2: Since the reminder 542 ≠ 0, we apply division lemma to 165 and 542, to get
542 = 165 x 3 + 47
Step 3: We consider the new divisor 165 and the new remainder 47, and apply the division lemma to get
165 = 47 x 3 + 24
We consider the new divisor 47 and the new remainder 24,and apply the division lemma to get
47 = 24 x 1 + 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 542 and 5585 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(47,24) = HCF(165,47) = HCF(542,165) = HCF(5585,542) .
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Frequently Asked Questions on HCF of 542, 5585 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 542, 5585?
Answer: HCF of 542, 5585 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 542, 5585 using Euclid's Algorithm?
Answer: For arbitrary numbers 542, 5585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.