Highest Common Factor of 587, 8119, 4585 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, 8119, 4585 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 587, 8119, 4585 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, 8119, 4585 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, 8119, 4585 is 1.
HCF(587, 8119, 4585) = 1
HCF of 587, 8119, 4585 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, 8119, 4585 is 1.
Highest Common Factor of 587,8119,4585 is 1
Step 1: Since 8119 > 587, we apply the division lemma to 8119 and 587, to get
8119 = 587 x 13 + 488
Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 488 and 587, to get
587 = 488 x 1 + 99
Step 3: We consider the new divisor 488 and the new remainder 99, and apply the division lemma to get
488 = 99 x 4 + 92
We consider the new divisor 99 and the new remainder 92,and apply the division lemma to get
99 = 92 x 1 + 7
We consider the new divisor 92 and the new remainder 7,and apply the division lemma to get
92 = 7 x 13 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 587 and 8119 is 1
Notice that 1 = HCF(7,1) = HCF(92,7) = HCF(99,92) = HCF(488,99) = HCF(587,488) = HCF(8119,587) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4585 > 1, we apply the division lemma to 4585 and 1, to get
4585 = 1 x 4585 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4585 is 1
Notice that 1 = HCF(4585,1) .
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Frequently Asked Questions on HCF of 587, 8119, 4585 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, 8119, 4585?
Answer: HCF of 587, 8119, 4585 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 587, 8119, 4585 using Euclid's Algorithm?
Answer: For arbitrary numbers 587, 8119, 4585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.