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, 632, 603 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 395, 632, 603 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, 632, 603 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, 632, 603 is 1.
HCF(395, 632, 603) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 395, 632, 603 is 1.
Step 1: Since 632 > 395, we apply the division lemma to 632 and 395, to get
632 = 395 x 1 + 237
Step 2: Since the reminder 395 ≠ 0, we apply division lemma to 237 and 395, to get
395 = 237 x 1 + 158
Step 3: We consider the new divisor 237 and the new remainder 158, and apply the division lemma to get
237 = 158 x 1 + 79
We consider the new divisor 158 and the new remainder 79, and apply the division lemma to get
158 = 79 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 79, the HCF of 395 and 632 is 79
Notice that 79 = HCF(158,79) = HCF(237,158) = HCF(395,237) = HCF(632,395) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 603 > 79, we apply the division lemma to 603 and 79, to get
603 = 79 x 7 + 50
Step 2: Since the reminder 79 ≠ 0, we apply division lemma to 50 and 79, to get
79 = 50 x 1 + 29
Step 3: We consider the new divisor 50 and the new remainder 29, and apply the division lemma to get
50 = 29 x 1 + 21
We consider the new divisor 29 and the new remainder 21,and apply the division lemma to get
29 = 21 x 1 + 8
We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get
21 = 8 x 2 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 79 and 603 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(29,21) = HCF(50,29) = HCF(79,50) = HCF(603,79) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 632, 603?
Answer: HCF of 395, 632, 603 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 395, 632, 603 using Euclid's Algorithm?
Answer: For arbitrary numbers 395, 632, 603 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.