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 583, 954, 317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 583, 954, 317 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 583, 954, 317 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 583, 954, 317 is 1.
HCF(583, 954, 317) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 583, 954, 317 is 1.
Step 1: Since 954 > 583, we apply the division lemma to 954 and 583, to get
954 = 583 x 1 + 371
Step 2: Since the reminder 583 ≠ 0, we apply division lemma to 371 and 583, to get
583 = 371 x 1 + 212
Step 3: We consider the new divisor 371 and the new remainder 212, and apply the division lemma to get
371 = 212 x 1 + 159
We consider the new divisor 212 and the new remainder 159,and apply the division lemma to get
212 = 159 x 1 + 53
We consider the new divisor 159 and the new remainder 53,and apply the division lemma to get
159 = 53 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 53, the HCF of 583 and 954 is 53
Notice that 53 = HCF(159,53) = HCF(212,159) = HCF(371,212) = HCF(583,371) = HCF(954,583) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 317 > 53, we apply the division lemma to 317 and 53, to get
317 = 53 x 5 + 52
Step 2: Since the reminder 53 ≠ 0, we apply division lemma to 52 and 53, to get
53 = 52 x 1 + 1
Step 3: We consider the new divisor 52 and the new remainder 1, and apply the division lemma to get
52 = 1 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 53 and 317 is 1
Notice that 1 = HCF(52,1) = HCF(53,52) = HCF(317,53) .
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 583, 954, 317?
Answer: HCF of 583, 954, 317 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 583, 954, 317 using Euclid's Algorithm?
Answer: For arbitrary numbers 583, 954, 317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.