Highest Common Factor of 628, 5706, 5808 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 628, 5706, 5808 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 628, 5706, 5808 is 2 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 628, 5706, 5808 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 628, 5706, 5808 is 2.
HCF(628, 5706, 5808) = 2
HCF of 628, 5706, 5808 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 628, 5706, 5808 is 2.
Highest Common Factor of 628,5706,5808 is 2
Step 1: Since 5706 > 628, we apply the division lemma to 5706 and 628, to get
5706 = 628 x 9 + 54
Step 2: Since the reminder 628 ≠ 0, we apply division lemma to 54 and 628, to get
628 = 54 x 11 + 34
Step 3: We consider the new divisor 54 and the new remainder 34, and apply the division lemma to get
54 = 34 x 1 + 20
We consider the new divisor 34 and the new remainder 20,and apply the division lemma to get
34 = 20 x 1 + 14
We consider the new divisor 20 and the new remainder 14,and apply the division lemma to get
20 = 14 x 1 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 628 and 5706 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(20,14) = HCF(34,20) = HCF(54,34) = HCF(628,54) = HCF(5706,628) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5808 > 2, we apply the division lemma to 5808 and 2, to get
5808 = 2 x 2904 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 5808 is 2
Notice that 2 = HCF(5808,2) .
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Frequently Asked Questions on HCF of 628, 5706, 5808 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 628, 5706, 5808?
Answer: HCF of 628, 5706, 5808 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 628, 5706, 5808 using Euclid's Algorithm?
Answer: For arbitrary numbers 628, 5706, 5808 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.