Highest Common Factor of 587, 5136 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 587, 5136 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 587, 5136 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 587, 5136 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 587, 5136 is 1.
HCF(587, 5136) = 1
HCF of 587, 5136 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 587, 5136 is 1.
Highest Common Factor of 587,5136 is 1
Step 1: Since 5136 > 587, we apply the division lemma to 5136 and 587, to get
5136 = 587 x 8 + 440
Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 440 and 587, to get
587 = 440 x 1 + 147
Step 3: We consider the new divisor 440 and the new remainder 147, and apply the division lemma to get
440 = 147 x 2 + 146
We consider the new divisor 147 and the new remainder 146,and apply the division lemma to get
147 = 146 x 1 + 1
We consider the new divisor 146 and the new remainder 1,and apply the division lemma to get
146 = 1 x 146 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 587 and 5136 is 1
Notice that 1 = HCF(146,1) = HCF(147,146) = HCF(440,147) = HCF(587,440) = HCF(5136,587) .
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Frequently Asked Questions on HCF of 587, 5136 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 587, 5136?
Answer: HCF of 587, 5136 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 587, 5136 using Euclid's Algorithm?
Answer: For arbitrary numbers 587, 5136 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.