Highest Common Factor of 4657, 5168, 34280 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 4657, 5168, 34280 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4657, 5168, 34280 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 4657, 5168, 34280 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 4657, 5168, 34280 is 1.
HCF(4657, 5168, 34280) = 1
HCF of 4657, 5168, 34280 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4657, 5168, 34280 is 1.
Highest Common Factor of 4657,5168,34280 is 1
Step 1: Since 5168 > 4657, we apply the division lemma to 5168 and 4657, to get
5168 = 4657 x 1 + 511
Step 2: Since the reminder 4657 ≠ 0, we apply division lemma to 511 and 4657, to get
4657 = 511 x 9 + 58
Step 3: We consider the new divisor 511 and the new remainder 58, and apply the division lemma to get
511 = 58 x 8 + 47
We consider the new divisor 58 and the new remainder 47,and apply the division lemma to get
58 = 47 x 1 + 11
We consider the new divisor 47 and the new remainder 11,and apply the division lemma to get
47 = 11 x 4 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4657 and 5168 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(47,11) = HCF(58,47) = HCF(511,58) = HCF(4657,511) = HCF(5168,4657) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 34280 > 1, we apply the division lemma to 34280 and 1, to get
34280 = 1 x 34280 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 34280 is 1
Notice that 1 = HCF(34280,1) .
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Frequently Asked Questions on HCF of 4657, 5168, 34280 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 4657, 5168, 34280?
Answer: HCF of 4657, 5168, 34280 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4657, 5168, 34280 using Euclid's Algorithm?
Answer: For arbitrary numbers 4657, 5168, 34280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.