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 503, 832, 395 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 503, 832, 395 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 503, 832, 395 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 503, 832, 395 is 1.
HCF(503, 832, 395) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 503, 832, 395 is 1.
Step 1: Since 832 > 503, we apply the division lemma to 832 and 503, to get
832 = 503 x 1 + 329
Step 2: Since the reminder 503 ≠ 0, we apply division lemma to 329 and 503, to get
503 = 329 x 1 + 174
Step 3: We consider the new divisor 329 and the new remainder 174, and apply the division lemma to get
329 = 174 x 1 + 155
We consider the new divisor 174 and the new remainder 155,and apply the division lemma to get
174 = 155 x 1 + 19
We consider the new divisor 155 and the new remainder 19,and apply the division lemma to get
155 = 19 x 8 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 503 and 832 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(155,19) = HCF(174,155) = HCF(329,174) = HCF(503,329) = HCF(832,503) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 395 > 1, we apply the division lemma to 395 and 1, to get
395 = 1 x 395 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 395 is 1
Notice that 1 = HCF(395,1) .
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 503, 832, 395?
Answer: HCF of 503, 832, 395 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 503, 832, 395 using Euclid's Algorithm?
Answer: For arbitrary numbers 503, 832, 395 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.