Highest Common Factor of 628, 960, 632, 17 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, 960, 632, 17 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 628, 960, 632, 17 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 628, 960, 632, 17 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, 960, 632, 17 is 1.
HCF(628, 960, 632, 17) = 1
HCF of 628, 960, 632, 17 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, 960, 632, 17 is 1.
Highest Common Factor of 628,960,632,17 is 1
Step 1: Since 960 > 628, we apply the division lemma to 960 and 628, to get
960 = 628 x 1 + 332
Step 2: Since the reminder 628 ≠ 0, we apply division lemma to 332 and 628, to get
628 = 332 x 1 + 296
Step 3: We consider the new divisor 332 and the new remainder 296, and apply the division lemma to get
332 = 296 x 1 + 36
We consider the new divisor 296 and the new remainder 36,and apply the division lemma to get
296 = 36 x 8 + 8
We consider the new divisor 36 and the new remainder 8,and apply the division lemma to get
36 = 8 x 4 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 628 and 960 is 4
Notice that 4 = HCF(8,4) = HCF(36,8) = HCF(296,36) = HCF(332,296) = HCF(628,332) = HCF(960,628) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 632 > 4, we apply the division lemma to 632 and 4, to get
632 = 4 x 158 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 632 is 4
Notice that 4 = HCF(632,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17 > 4, we apply the division lemma to 17 and 4, to get
17 = 4 x 4 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 17 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) .
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Frequently Asked Questions on HCF of 628, 960, 632, 17 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, 960, 632, 17?
Answer: HCF of 628, 960, 632, 17 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 628, 960, 632, 17 using Euclid's Algorithm?
Answer: For arbitrary numbers 628, 960, 632, 17 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.