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 331, 517, 849 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 331, 517, 849 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 331, 517, 849 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 331, 517, 849 is 1.
HCF(331, 517, 849) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 331, 517, 849 is 1.
Step 1: Since 517 > 331, we apply the division lemma to 517 and 331, to get
517 = 331 x 1 + 186
Step 2: Since the reminder 331 ≠ 0, we apply division lemma to 186 and 331, to get
331 = 186 x 1 + 145
Step 3: We consider the new divisor 186 and the new remainder 145, and apply the division lemma to get
186 = 145 x 1 + 41
We consider the new divisor 145 and the new remainder 41,and apply the division lemma to get
145 = 41 x 3 + 22
We consider the new divisor 41 and the new remainder 22,and apply the division lemma to get
41 = 22 x 1 + 19
We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get
22 = 19 x 1 + 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 331 and 517 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(41,22) = HCF(145,41) = HCF(186,145) = HCF(331,186) = HCF(517,331) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 849 > 1, we apply the division lemma to 849 and 1, to get
849 = 1 x 849 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 849 is 1
Notice that 1 = HCF(849,1) .
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 331, 517, 849?
Answer: HCF of 331, 517, 849 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 331, 517, 849 using Euclid's Algorithm?
Answer: For arbitrary numbers 331, 517, 849 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.