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 843, 332, 627 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 843, 332, 627 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 843, 332, 627 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 843, 332, 627 is 1.
HCF(843, 332, 627) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 843, 332, 627 is 1.
Step 1: Since 843 > 332, we apply the division lemma to 843 and 332, to get
843 = 332 x 2 + 179
Step 2: Since the reminder 332 ≠ 0, we apply division lemma to 179 and 332, to get
332 = 179 x 1 + 153
Step 3: We consider the new divisor 179 and the new remainder 153, and apply the division lemma to get
179 = 153 x 1 + 26
We consider the new divisor 153 and the new remainder 26,and apply the division lemma to get
153 = 26 x 5 + 23
We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get
26 = 23 x 1 + 3
We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get
23 = 3 x 7 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 843 and 332 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(153,26) = HCF(179,153) = HCF(332,179) = HCF(843,332) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 627 > 1, we apply the division lemma to 627 and 1, to get
627 = 1 x 627 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 627 is 1
Notice that 1 = HCF(627,1) .
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 843, 332, 627?
Answer: HCF of 843, 332, 627 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 843, 332, 627 using Euclid's Algorithm?
Answer: For arbitrary numbers 843, 332, 627 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.