Highest Common Factor of 395, 600, 715, 23 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 395, 600, 715, 23 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 395, 600, 715, 23 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 395, 600, 715, 23 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 395, 600, 715, 23 is 1.
HCF(395, 600, 715, 23) = 1
HCF of 395, 600, 715, 23 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 395, 600, 715, 23 is 1.
Highest Common Factor of 395,600,715,23 is 1
Step 1: Since 600 > 395, we apply the division lemma to 600 and 395, to get
600 = 395 x 1 + 205
Step 2: Since the reminder 395 ≠ 0, we apply division lemma to 205 and 395, to get
395 = 205 x 1 + 190
Step 3: We consider the new divisor 205 and the new remainder 190, and apply the division lemma to get
205 = 190 x 1 + 15
We consider the new divisor 190 and the new remainder 15,and apply the division lemma to get
190 = 15 x 12 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 395 and 600 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(190,15) = HCF(205,190) = HCF(395,205) = HCF(600,395) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 715 > 5, we apply the division lemma to 715 and 5, to get
715 = 5 x 143 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 715 is 5
Notice that 5 = HCF(715,5) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 23 > 5, we apply the division lemma to 23 and 5, to get
23 = 5 x 4 + 3
Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get
5 = 3 x 1 + 2
Step 3: 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 5 and 23 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) .
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Frequently Asked Questions on HCF of 395, 600, 715, 23 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 395, 600, 715, 23?
Answer: HCF of 395, 600, 715, 23 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 395, 600, 715, 23 using Euclid's Algorithm?
Answer: For arbitrary numbers 395, 600, 715, 23 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
