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 543, 869, 331 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 543, 869, 331 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 543, 869, 331 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 543, 869, 331 is 1.
HCF(543, 869, 331) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 543, 869, 331 is 1.
Step 1: Since 869 > 543, we apply the division lemma to 869 and 543, to get
869 = 543 x 1 + 326
Step 2: Since the reminder 543 ≠ 0, we apply division lemma to 326 and 543, to get
543 = 326 x 1 + 217
Step 3: We consider the new divisor 326 and the new remainder 217, and apply the division lemma to get
326 = 217 x 1 + 109
We consider the new divisor 217 and the new remainder 109,and apply the division lemma to get
217 = 109 x 1 + 108
We consider the new divisor 109 and the new remainder 108,and apply the division lemma to get
109 = 108 x 1 + 1
We consider the new divisor 108 and the new remainder 1,and apply the division lemma to get
108 = 1 x 108 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 543 and 869 is 1
Notice that 1 = HCF(108,1) = HCF(109,108) = HCF(217,109) = HCF(326,217) = HCF(543,326) = HCF(869,543) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 331 > 1, we apply the division lemma to 331 and 1, to get
331 = 1 x 331 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 331 is 1
Notice that 1 = HCF(331,1) .
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 543, 869, 331?
Answer: HCF of 543, 869, 331 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 543, 869, 331 using Euclid's Algorithm?
Answer: For arbitrary numbers 543, 869, 331 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.