Highest Common Factor of 5060, 8583, 64824 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 5060, 8583, 64824 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5060, 8583, 64824 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 5060, 8583, 64824 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 5060, 8583, 64824 is 1.
HCF(5060, 8583, 64824) = 1
HCF of 5060, 8583, 64824 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5060, 8583, 64824 is 1.
Highest Common Factor of 5060,8583,64824 is 1
Step 1: Since 8583 > 5060, we apply the division lemma to 8583 and 5060, to get
8583 = 5060 x 1 + 3523
Step 2: Since the reminder 5060 ≠ 0, we apply division lemma to 3523 and 5060, to get
5060 = 3523 x 1 + 1537
Step 3: We consider the new divisor 3523 and the new remainder 1537, and apply the division lemma to get
3523 = 1537 x 2 + 449
We consider the new divisor 1537 and the new remainder 449,and apply the division lemma to get
1537 = 449 x 3 + 190
We consider the new divisor 449 and the new remainder 190,and apply the division lemma to get
449 = 190 x 2 + 69
We consider the new divisor 190 and the new remainder 69,and apply the division lemma to get
190 = 69 x 2 + 52
We consider the new divisor 69 and the new remainder 52,and apply the division lemma to get
69 = 52 x 1 + 17
We consider the new divisor 52 and the new remainder 17,and apply the division lemma to get
52 = 17 x 3 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5060 and 8583 is 1
Notice that 1 = HCF(17,1) = HCF(52,17) = HCF(69,52) = HCF(190,69) = HCF(449,190) = HCF(1537,449) = HCF(3523,1537) = HCF(5060,3523) = HCF(8583,5060) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 64824 > 1, we apply the division lemma to 64824 and 1, to get
64824 = 1 x 64824 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64824 is 1
Notice that 1 = HCF(64824,1) .
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Frequently Asked Questions on HCF of 5060, 8583, 64824 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 5060, 8583, 64824?
Answer: HCF of 5060, 8583, 64824 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5060, 8583, 64824 using Euclid's Algorithm?
Answer: For arbitrary numbers 5060, 8583, 64824 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
