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 845, 671, 317 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 845, 671, 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 845, 671, 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 845, 671, 317 is 1.
HCF(845, 671, 317) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 845, 671, 317 is 1.
Step 1: Since 845 > 671, we apply the division lemma to 845 and 671, to get
845 = 671 x 1 + 174
Step 2: Since the reminder 671 ≠ 0, we apply division lemma to 174 and 671, to get
671 = 174 x 3 + 149
Step 3: We consider the new divisor 174 and the new remainder 149, and apply the division lemma to get
174 = 149 x 1 + 25
We consider the new divisor 149 and the new remainder 25,and apply the division lemma to get
149 = 25 x 5 + 24
We consider the new divisor 25 and the new remainder 24,and apply the division lemma to get
25 = 24 x 1 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 845 and 671 is 1
Notice that 1 = HCF(24,1) = HCF(25,24) = HCF(149,25) = HCF(174,149) = HCF(671,174) = HCF(845,671) .
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) .
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 845, 671, 317?
Answer: HCF of 845, 671, 317 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 845, 671, 317 using Euclid's Algorithm?
Answer: For arbitrary numbers 845, 671, 317 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.