Highest Common Factor of 649, 401, 317 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 649, 401, 317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 649, 401, 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 649, 401, 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 649, 401, 317 is 1.
HCF(649, 401, 317) = 1
HCF of 649, 401, 317 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 649, 401, 317 is 1.
Highest Common Factor of 649,401,317 is 1
Step 1: Since 649 > 401, we apply the division lemma to 649 and 401, to get
649 = 401 x 1 + 248
Step 2: Since the reminder 401 ≠ 0, we apply division lemma to 248 and 401, to get
401 = 248 x 1 + 153
Step 3: We consider the new divisor 248 and the new remainder 153, and apply the division lemma to get
248 = 153 x 1 + 95
We consider the new divisor 153 and the new remainder 95,and apply the division lemma to get
153 = 95 x 1 + 58
We consider the new divisor 95 and the new remainder 58,and apply the division lemma to get
95 = 58 x 1 + 37
We consider the new divisor 58 and the new remainder 37,and apply the division lemma to get
58 = 37 x 1 + 21
We consider the new divisor 37 and the new remainder 21,and apply the division lemma to get
37 = 21 x 1 + 16
We consider the new divisor 21 and the new remainder 16,and apply the division lemma to get
21 = 16 x 1 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 649 and 401 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(21,16) = HCF(37,21) = HCF(58,37) = HCF(95,58) = HCF(153,95) = HCF(248,153) = HCF(401,248) = HCF(649,401) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 317 > 1, we apply the division lemma to 317 and 1, to get
317 = 1 x 317 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 317 is 1
Notice that 1 = HCF(317,1) .
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Frequently Asked Questions on HCF of 649, 401, 317 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 649, 401, 317?
Answer: HCF of 649, 401, 317 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 649, 401, 317 using Euclid's Algorithm?
Answer: For arbitrary numbers 649, 401, 317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.